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Finding the Third Proportional to 52,561.13 and 81,610.31

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Solution

The third proportional to 52,561.13 and 81,610.31 is: 126,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561.13 : 81,610.31 = 81,610.31 : x
  2. Step 2: Convert to fraction form
    52,561.13/81,610.31 = 81,610.31/x
  3. Step 3: Cross multiply
    52,561.13x = 81,610.31 × 81,610.31
  4. Step 4: Simplify right side
    52,561.13x = 6,660,243,106.35
  5. Step 5: Solve for x
    x = 6,660,243,106.35/52,561.13
  6. Step 6: Final answer
    x = 126,714.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.