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Finding the Third Proportional to 127,720.69 and 273,772.13

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Solution

The third proportional to 127,720.69 and 273,772.13 is: 586,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,720.69 : 273,772.13 = 273,772.13 : x
  2. Step 2: Convert to fraction form
    127,720.69/273,772.13 = 273,772.13/x
  3. Step 3: Cross multiply
    127,720.69x = 273,772.13 × 273,772.13
  4. Step 4: Simplify right side
    127,720.69x = 74,951,176,427.02
  5. Step 5: Solve for x
    x = 74,951,176,427.02/127,720.69
  6. Step 6: Final answer
    x = 586,836.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.