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Finding the Third Proportional to 127,620.56 and 272,008.13

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Solution

The third proportional to 127,620.56 and 272,008.13 is: 579,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,620.56 : 272,008.13 = 272,008.13 : x
  2. Step 2: Convert to fraction form
    127,620.56/272,008.13 = 272,008.13/x
  3. Step 3: Cross multiply
    127,620.56x = 272,008.13 × 272,008.13
  4. Step 4: Simplify right side
    127,620.56x = 73,988,420,066.02
  5. Step 5: Solve for x
    x = 73,988,420,066.02/127,620.56
  6. Step 6: Final answer
    x = 579,753.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.