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Finding the Third Proportional to 57,706 and 124,620

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Solution

The third proportional to 57,706 and 124,620 is: 269,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706 : 124,620 = 124,620 : x
  2. Step 2: Convert to fraction form
    57,706/124,620 = 124,620/x
  3. Step 3: Cross multiply
    57,706x = 124,620 × 124,620
  4. Step 4: Simplify right side
    57,706x = 15,530,144,400
  5. Step 5: Solve for x
    x = 15,530,144,400/57,706
  6. Step 6: Final answer
    x = 269,125.30

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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.