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Finding the Third Proportional to 61,623 and 126,166.13

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Solution

The third proportional to 61,623 and 126,166.13 is: 258,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,623 : 126,166.13 = 126,166.13 : x
  2. Step 2: Convert to fraction form
    61,623/126,166.13 = 126,166.13/x
  3. Step 3: Cross multiply
    61,623x = 126,166.13 × 126,166.13
  4. Step 4: Simplify right side
    61,623x = 15,917,891,097.52
  5. Step 5: Solve for x
    x = 15,917,891,097.52/61,623
  6. Step 6: Final answer
    x = 258,310.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.