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Finding the Third Proportional to 57,160 and 123,860

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Solution

The third proportional to 57,160 and 123,860 is: 268,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160 : 123,860 = 123,860 : x
  2. Step 2: Convert to fraction form
    57,160/123,860 = 123,860/x
  3. Step 3: Cross multiply
    57,160x = 123,860 × 123,860
  4. Step 4: Simplify right side
    57,160x = 15,341,299,600
  5. Step 5: Solve for x
    x = 15,341,299,600/57,160
  6. Step 6: Final answer
    x = 268,392.23

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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.