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Finding the Third Proportional to 57,060 and 82,190

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Solution

The third proportional to 57,060 and 82,190 is: 118,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,060 : 82,190 = 82,190 : x
  2. Step 2: Convert to fraction form
    57,060/82,190 = 82,190/x
  3. Step 3: Cross multiply
    57,060x = 82,190 × 82,190
  4. Step 4: Simplify right side
    57,060x = 6,755,196,100
  5. Step 5: Solve for x
    x = 6,755,196,100/57,060
  6. Step 6: Final answer
    x = 118,387.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.