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Finding the Third Proportional to 71,231.97 and 109,931.94

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Solution

The third proportional to 71,231.97 and 109,931.94 is: 169,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,231.97 : 109,931.94 = 109,931.94 : x
  2. Step 2: Convert to fraction form
    71,231.97/109,931.94 = 109,931.94/x
  3. Step 3: Cross multiply
    71,231.97x = 109,931.94 × 109,931.94
  4. Step 4: Simplify right side
    71,231.97x = 12,085,030,882.50
  5. Step 5: Solve for x
    x = 12,085,030,882.50/71,231.97
  6. Step 6: Final answer
    x = 169,657.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.