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Finding the Third Proportional to 69,198.75 and 103,437.56

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Solution

The third proportional to 69,198.75 and 103,437.56 is: 154,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,198.75 : 103,437.56 = 103,437.56 : x
  2. Step 2: Convert to fraction form
    69,198.75/103,437.56 = 103,437.56/x
  3. Step 3: Cross multiply
    69,198.75x = 103,437.56 × 103,437.56
  4. Step 4: Simplify right side
    69,198.75x = 10,699,329,335.94
  5. Step 5: Solve for x
    x = 10,699,329,335.94/69,198.75
  6. Step 6: Final answer
    x = 154,617.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.