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Finding the Third Proportional to 57,499.88 and 125,724.66

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Solution

The third proportional to 57,499.88 and 125,724.66 is: 274,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,499.88 : 125,724.66 = 125,724.66 : x
  2. Step 2: Convert to fraction form
    57,499.88/125,724.66 = 125,724.66/x
  3. Step 3: Cross multiply
    57,499.88x = 125,724.66 × 125,724.66
  4. Step 4: Simplify right side
    57,499.88x = 15,806,689,189.18
  5. Step 5: Solve for x
    x = 15,806,689,189.18/57,499.88
  6. Step 6: Final answer
    x = 274,899.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.