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Finding the Third Proportional to 89,472 and 131,612

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Solution

The third proportional to 89,472 and 131,612 is: 193,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,472 : 131,612 = 131,612 : x
  2. Step 2: Convert to fraction form
    89,472/131,612 = 131,612/x
  3. Step 3: Cross multiply
    89,472x = 131,612 × 131,612
  4. Step 4: Simplify right side
    89,472x = 17,321,718,544
  5. Step 5: Solve for x
    x = 17,321,718,544/89,472
  6. Step 6: Final answer
    x = 193,599.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.