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Finding the Third Proportional to 89,934 and 131,984

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Solution

The third proportional to 89,934 and 131,984 is: 193,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,934 : 131,984 = 131,984 : x
  2. Step 2: Convert to fraction form
    89,934/131,984 = 131,984/x
  3. Step 3: Cross multiply
    89,934x = 131,984 × 131,984
  4. Step 4: Simplify right side
    89,934x = 17,419,776,256
  5. Step 5: Solve for x
    x = 17,419,776,256/89,934
  6. Step 6: Final answer
    x = 193,695.11

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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.