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Finding the Third Proportional to 125,736.75 and 272,760.75

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Solution

The third proportional to 125,736.75 and 272,760.75 is: 591,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,736.75 : 272,760.75 = 272,760.75 : x
  2. Step 2: Convert to fraction form
    125,736.75/272,760.75 = 272,760.75/x
  3. Step 3: Cross multiply
    125,736.75x = 272,760.75 × 272,760.75
  4. Step 4: Simplify right side
    125,736.75x = 74,398,426,740.56
  5. Step 5: Solve for x
    x = 74,398,426,740.56/125,736.75
  6. Step 6: Final answer
    x = 591,699.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.