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Finding the Third Proportional to 57,342 and 122,460

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Solution

The third proportional to 57,342 and 122,460 is: 261,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,342 : 122,460 = 122,460 : x
  2. Step 2: Convert to fraction form
    57,342/122,460 = 122,460/x
  3. Step 3: Cross multiply
    57,342x = 122,460 × 122,460
  4. Step 4: Simplify right side
    57,342x = 14,996,451,600
  5. Step 5: Solve for x
    x = 14,996,451,600/57,342
  6. Step 6: Final answer
    x = 261,526.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.