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Finding the Third Proportional to 90,764 and 126,952

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Solution

The third proportional to 90,764 and 126,952 is: 177,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,764 : 126,952 = 126,952 : x
  2. Step 2: Convert to fraction form
    90,764/126,952 = 126,952/x
  3. Step 3: Cross multiply
    90,764x = 126,952 × 126,952
  4. Step 4: Simplify right side
    90,764x = 16,116,810,304
  5. Step 5: Solve for x
    x = 16,116,810,304/90,764
  6. Step 6: Final answer
    x = 177,568.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.