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Finding the Third Proportional to 89,598 and 131,802

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Solution

The third proportional to 89,598 and 131,802 is: 193,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,598 : 131,802 = 131,802 : x
  2. Step 2: Convert to fraction form
    89,598/131,802 = 131,802/x
  3. Step 3: Cross multiply
    89,598x = 131,802 × 131,802
  4. Step 4: Simplify right side
    89,598x = 17,371,767,204
  5. Step 5: Solve for x
    x = 17,371,767,204/89,598
  6. Step 6: Final answer
    x = 193,885.66

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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.