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Finding the Third Proportional to 57,988 and 125,570

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Solution

The third proportional to 57,988 and 125,570 is: 271,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,988 : 125,570 = 125,570 : x
  2. Step 2: Convert to fraction form
    57,988/125,570 = 125,570/x
  3. Step 3: Cross multiply
    57,988x = 125,570 × 125,570
  4. Step 4: Simplify right side
    57,988x = 15,767,824,900
  5. Step 5: Solve for x
    x = 15,767,824,900/57,988
  6. Step 6: Final answer
    x = 271,915.31

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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.