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Finding the Third Proportional to 90,557 and 133,060

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Solution

The third proportional to 90,557 and 133,060 is: 195,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,557 : 133,060 = 133,060 : x
  2. Step 2: Convert to fraction form
    90,557/133,060 = 133,060/x
  3. Step 3: Cross multiply
    90,557x = 133,060 × 133,060
  4. Step 4: Simplify right side
    90,557x = 17,704,963,600
  5. Step 5: Solve for x
    x = 17,704,963,600/90,557
  6. Step 6: Final answer
    x = 195,511.82

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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.