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Finding the Third Proportional to 57,778.50 and 124,180.13

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Solution

The third proportional to 57,778.50 and 124,180.13 is: 266,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778.50 : 124,180.13 = 124,180.13 : x
  2. Step 2: Convert to fraction form
    57,778.50/124,180.13 = 124,180.13/x
  3. Step 3: Cross multiply
    57,778.50x = 124,180.13 × 124,180.13
  4. Step 4: Simplify right side
    57,778.50x = 15,420,703,445.02
  5. Step 5: Solve for x
    x = 15,420,703,445.02/57,778.50
  6. Step 6: Final answer
    x = 266,893.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.