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Finding the Third Proportional to 123,841.13 and 146,257.88

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Solution

The third proportional to 123,841.13 and 146,257.88 is: 172,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,841.13 : 146,257.88 = 146,257.88 : x
  2. Step 2: Convert to fraction form
    123,841.13/146,257.88 = 146,257.88/x
  3. Step 3: Cross multiply
    123,841.13x = 146,257.88 × 146,257.88
  4. Step 4: Simplify right side
    123,841.13x = 21,391,365,999.52
  5. Step 5: Solve for x
    x = 21,391,365,999.52/123,841.13
  6. Step 6: Final answer
    x = 172,732.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.