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Finding the Third Proportional to 69,453.75 and 103,723.13

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Solution

The third proportional to 69,453.75 and 103,723.13 is: 154,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,453.75 : 103,723.13 = 103,723.13 : x
  2. Step 2: Convert to fraction form
    69,453.75/103,723.13 = 103,723.13/x
  3. Step 3: Cross multiply
    69,453.75x = 103,723.13 × 103,723.13
  4. Step 4: Simplify right side
    69,453.75x = 10,758,486,659.77
  5. Step 5: Solve for x
    x = 10,758,486,659.77/69,453.75
  6. Step 6: Final answer
    x = 154,901.45

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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.