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Finding the Third Proportional to 90,632 and 137,946

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Solution

The third proportional to 90,632 and 137,946 is: 209,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,632 : 137,946 = 137,946 : x
  2. Step 2: Convert to fraction form
    90,632/137,946 = 137,946/x
  3. Step 3: Cross multiply
    90,632x = 137,946 × 137,946
  4. Step 4: Simplify right side
    90,632x = 19,029,098,916
  5. Step 5: Solve for x
    x = 19,029,098,916/90,632
  6. Step 6: Final answer
    x = 209,960.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.