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Finding the Third Proportional to 57,451.50 and 124,126.50

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Solution

The third proportional to 57,451.50 and 124,126.50 is: 268,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,451.50 : 124,126.50 = 124,126.50 : x
  2. Step 2: Convert to fraction form
    57,451.50/124,126.50 = 124,126.50/x
  3. Step 3: Cross multiply
    57,451.50x = 124,126.50 × 124,126.50
  4. Step 4: Simplify right side
    57,451.50x = 15,407,388,002.25
  5. Step 5: Solve for x
    x = 15,407,388,002.25/57,451.50
  6. Step 6: Final answer
    x = 268,180.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.