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Finding the Third Proportional to 57,946 and 125,720

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Solution

The third proportional to 57,946 and 125,720 is: 272,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,946 : 125,720 = 125,720 : x
  2. Step 2: Convert to fraction form
    57,946/125,720 = 125,720/x
  3. Step 3: Cross multiply
    57,946x = 125,720 × 125,720
  4. Step 4: Simplify right side
    57,946x = 15,805,518,400
  5. Step 5: Solve for x
    x = 15,805,518,400/57,946
  6. Step 6: Final answer
    x = 272,762.89

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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.