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Finding the Third Proportional to 71,931.38 and 112,836.38

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Solution

The third proportional to 71,931.38 and 112,836.38 is: 177,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931.38 : 112,836.38 = 112,836.38 : x
  2. Step 2: Convert to fraction form
    71,931.38/112,836.38 = 112,836.38/x
  3. Step 3: Cross multiply
    71,931.38x = 112,836.38 × 112,836.38
  4. Step 4: Simplify right side
    71,931.38x = 12,732,047,523.14
  5. Step 5: Solve for x
    x = 12,732,047,523.14/71,931.38
  6. Step 6: Final answer
    x = 177,002.70

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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.