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Finding the Third Proportional to 102,681 and 137,349

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Solution

The third proportional to 102,681 and 137,349 is: 183,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681 : 137,349 = 137,349 : x
  2. Step 2: Convert to fraction form
    102,681/137,349 = 137,349/x
  3. Step 3: Cross multiply
    102,681x = 137,349 × 137,349
  4. Step 4: Simplify right side
    102,681x = 18,864,747,801
  5. Step 5: Solve for x
    x = 18,864,747,801/102,681
  6. Step 6: Final answer
    x = 183,721.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.