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Finding the Third Proportional to 57,762 and 125,970

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Solution

The third proportional to 57,762 and 125,970 is: 274,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762 : 125,970 = 125,970 : x
  2. Step 2: Convert to fraction form
    57,762/125,970 = 125,970/x
  3. Step 3: Cross multiply
    57,762x = 125,970 × 125,970
  4. Step 4: Simplify right side
    57,762x = 15,868,440,900
  5. Step 5: Solve for x
    x = 15,868,440,900/57,762
  6. Step 6: Final answer
    x = 274,721.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.