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Finding the Third Proportional to 57,761 and 124,999

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Solution

The third proportional to 57,761 and 124,999 is: 270,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,761 : 124,999 = 124,999 : x
  2. Step 2: Convert to fraction form
    57,761/124,999 = 124,999/x
  3. Step 3: Cross multiply
    57,761x = 124,999 × 124,999
  4. Step 4: Simplify right side
    57,761x = 15,624,750,001
  5. Step 5: Solve for x
    x = 15,624,750,001/57,761
  6. Step 6: Final answer
    x = 270,506.92

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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.