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Finding the Third Proportional to 57,772 and 125,420

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Solution

The third proportional to 57,772 and 125,420 is: 272,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772 : 125,420 = 125,420 : x
  2. Step 2: Convert to fraction form
    57,772/125,420 = 125,420/x
  3. Step 3: Cross multiply
    57,772x = 125,420 × 125,420
  4. Step 4: Simplify right side
    57,772x = 15,730,176,400
  5. Step 5: Solve for x
    x = 15,730,176,400/57,772
  6. Step 6: Final answer
    x = 272,280.28

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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.