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Finding the Third Proportional to 52,579.13 and 81,116.44

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Solution

The third proportional to 52,579.13 and 81,116.44 is: 125,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,579.13 : 81,116.44 = 81,116.44 : x
  2. Step 2: Convert to fraction form
    52,579.13/81,116.44 = 81,116.44/x
  3. Step 3: Cross multiply
    52,579.13x = 81,116.44 × 81,116.44
  4. Step 4: Simplify right side
    52,579.13x = 6,579,876,432.69
  5. Step 5: Solve for x
    x = 6,579,876,432.69/52,579.13
  6. Step 6: Final answer
    x = 125,142.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.