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Finding the Third Proportional to 137,655 and 181,413

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Solution

The third proportional to 137,655 and 181,413 is: 239,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,655 : 181,413 = 181,413 : x
  2. Step 2: Convert to fraction form
    137,655/181,413 = 181,413/x
  3. Step 3: Cross multiply
    137,655x = 181,413 × 181,413
  4. Step 4: Simplify right side
    137,655x = 32,910,676,569
  5. Step 5: Solve for x
    x = 32,910,676,569/137,655
  6. Step 6: Final answer
    x = 239,080.87

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.