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Finding the Third Proportional to 90,769 and 132,931

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Solution

The third proportional to 90,769 and 132,931 is: 194,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,769 : 132,931 = 132,931 : x
  2. Step 2: Convert to fraction form
    90,769/132,931 = 132,931/x
  3. Step 3: Cross multiply
    90,769x = 132,931 × 132,931
  4. Step 4: Simplify right side
    90,769x = 17,670,650,761
  5. Step 5: Solve for x
    x = 17,670,650,761/90,769
  6. Step 6: Final answer
    x = 194,677.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.