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Finding the Third Proportional to 54,966.38 and 83,543.06

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Solution

The third proportional to 54,966.38 and 83,543.06 is: 126,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966.38 : 83,543.06 = 83,543.06 : x
  2. Step 2: Convert to fraction form
    54,966.38/83,543.06 = 83,543.06/x
  3. Step 3: Cross multiply
    54,966.38x = 83,543.06 × 83,543.06
  4. Step 4: Simplify right side
    54,966.38x = 6,979,443,291.88
  5. Step 5: Solve for x
    x = 6,979,443,291.88/54,966.38
  6. Step 6: Final answer
    x = 126,976.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.