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Finding the Third Proportional to 90,486 and 140,899

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Solution

The third proportional to 90,486 and 140,899 is: 219,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,486 : 140,899 = 140,899 : x
  2. Step 2: Convert to fraction form
    90,486/140,899 = 140,899/x
  3. Step 3: Cross multiply
    90,486x = 140,899 × 140,899
  4. Step 4: Simplify right side
    90,486x = 19,852,528,201
  5. Step 5: Solve for x
    x = 19,852,528,201/90,486
  6. Step 6: Final answer
    x = 219,398.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.