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Finding the Third Proportional to 103,727 and 227,534

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Solution

The third proportional to 103,727 and 227,534 is: 499,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,727 : 227,534 = 227,534 : x
  2. Step 2: Convert to fraction form
    103,727/227,534 = 227,534/x
  3. Step 3: Cross multiply
    103,727x = 227,534 × 227,534
  4. Step 4: Simplify right side
    103,727x = 51,771,721,156
  5. Step 5: Solve for x
    x = 51,771,721,156/103,727
  6. Step 6: Final answer
    x = 499,115.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.