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Finding the Third Proportional to 55,648.50 and 120,531

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Solution

The third proportional to 55,648.50 and 120,531 is: 261,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648.50 : 120,531 = 120,531 : x
  2. Step 2: Convert to fraction form
    55,648.50/120,531 = 120,531/x
  3. Step 3: Cross multiply
    55,648.50x = 120,531 × 120,531
  4. Step 4: Simplify right side
    55,648.50x = 14,527,721,961
  5. Step 5: Solve for x
    x = 14,527,721,961/55,648.50
  6. Step 6: Final answer
    x = 261,062.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.