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Finding the Third Proportional to 54,756 and 82,377

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Solution

The third proportional to 54,756 and 82,377 is: 123,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756 : 82,377 = 82,377 : x
  2. Step 2: Convert to fraction form
    54,756/82,377 = 82,377/x
  3. Step 3: Cross multiply
    54,756x = 82,377 × 82,377
  4. Step 4: Simplify right side
    54,756x = 6,785,970,129
  5. Step 5: Solve for x
    x = 6,785,970,129/54,756
  6. Step 6: Final answer
    x = 123,931.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.