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Finding the Third Proportional to 90,780 and 140,892

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Solution

The third proportional to 90,780 and 140,892 is: 218,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,780 : 140,892 = 140,892 : x
  2. Step 2: Convert to fraction form
    90,780/140,892 = 140,892/x
  3. Step 3: Cross multiply
    90,780x = 140,892 × 140,892
  4. Step 4: Simplify right side
    90,780x = 19,850,555,664
  5. Step 5: Solve for x
    x = 19,850,555,664/90,780
  6. Step 6: Final answer
    x = 218,666.62

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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.