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Finding the Third Proportional to 69,068.75 and 103,177

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Solution

The third proportional to 69,068.75 and 103,177 is: 154,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,068.75 : 103,177 = 103,177 : x
  2. Step 2: Convert to fraction form
    69,068.75/103,177 = 103,177/x
  3. Step 3: Cross multiply
    69,068.75x = 103,177 × 103,177
  4. Step 4: Simplify right side
    69,068.75x = 10,645,493,329
  5. Step 5: Solve for x
    x = 10,645,493,329/69,068.75
  6. Step 6: Final answer
    x = 154,128.94

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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.