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Finding the Third Proportional to 90,664 and 140,732

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Solution

The third proportional to 90,664 and 140,732 is: 218,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,664 : 140,732 = 140,732 : x
  2. Step 2: Convert to fraction form
    90,664/140,732 = 140,732/x
  3. Step 3: Cross multiply
    90,664x = 140,732 × 140,732
  4. Step 4: Simplify right side
    90,664x = 19,805,495,824
  5. Step 5: Solve for x
    x = 19,805,495,824/90,664
  6. Step 6: Final answer
    x = 218,449.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.