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Finding the Third Proportional to 57,499 and 125,726

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Solution

The third proportional to 57,499 and 125,726 is: 274,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,499 : 125,726 = 125,726 : x
  2. Step 2: Convert to fraction form
    57,499/125,726 = 125,726/x
  3. Step 3: Cross multiply
    57,499x = 125,726 × 125,726
  4. Step 4: Simplify right side
    57,499x = 15,807,027,076
  5. Step 5: Solve for x
    x = 15,807,027,076/57,499
  6. Step 6: Final answer
    x = 274,909.60

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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.