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Finding the Third Proportional to 91,920 and 132,532

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Solution

The third proportional to 91,920 and 132,532 is: 191,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,920 : 132,532 = 132,532 : x
  2. Step 2: Convert to fraction form
    91,920/132,532 = 132,532/x
  3. Step 3: Cross multiply
    91,920x = 132,532 × 132,532
  4. Step 4: Simplify right side
    91,920x = 17,564,731,024
  5. Step 5: Solve for x
    x = 17,564,731,024/91,920
  6. Step 6: Final answer
    x = 191,087.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.