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Finding the Third Proportional to 89,456 and 131,592

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Solution

The third proportional to 89,456 and 131,592 is: 193,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,456 : 131,592 = 131,592 : x
  2. Step 2: Convert to fraction form
    89,456/131,592 = 131,592/x
  3. Step 3: Cross multiply
    89,456x = 131,592 × 131,592
  4. Step 4: Simplify right side
    89,456x = 17,316,454,464
  5. Step 5: Solve for x
    x = 17,316,454,464/89,456
  6. Step 6: Final answer
    x = 193,575.10

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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.