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Finding the Third Proportional to 90,452 and 133,060

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Solution

The third proportional to 90,452 and 133,060 is: 195,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,452 : 133,060 = 133,060 : x
  2. Step 2: Convert to fraction form
    90,452/133,060 = 133,060/x
  3. Step 3: Cross multiply
    90,452x = 133,060 × 133,060
  4. Step 4: Simplify right side
    90,452x = 17,704,963,600
  5. Step 5: Solve for x
    x = 17,704,963,600/90,452
  6. Step 6: Final answer
    x = 195,738.77

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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.