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Finding the Third Proportional to 55,677.38 and 119,971.13

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Solution

The third proportional to 55,677.38 and 119,971.13 is: 258,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,677.38 : 119,971.13 = 119,971.13 : x
  2. Step 2: Convert to fraction form
    55,677.38/119,971.13 = 119,971.13/x
  3. Step 3: Cross multiply
    55,677.38x = 119,971.13 × 119,971.13
  4. Step 4: Simplify right side
    55,677.38x = 14,393,070,833.77
  5. Step 5: Solve for x
    x = 14,393,070,833.77/55,677.38
  6. Step 6: Final answer
    x = 258,508.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.