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Finding the Third Proportional to 71,877.38 and 112,524.19

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Solution

The third proportional to 71,877.38 and 112,524.19 is: 176,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.38 : 112,524.19 = 112,524.19 : x
  2. Step 2: Convert to fraction form
    71,877.38/112,524.19 = 112,524.19/x
  3. Step 3: Cross multiply
    71,877.38x = 112,524.19 × 112,524.19
  4. Step 4: Simplify right side
    71,877.38x = 12,661,692,772.54
  5. Step 5: Solve for x
    x = 12,661,692,772.54/71,877.38
  6. Step 6: Final answer
    x = 176,156.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.