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Finding the Third Proportional to 71,440 and 155,182

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Solution

The third proportional to 71,440 and 155,182 is: 337,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440 : 155,182 = 155,182 : x
  2. Step 2: Convert to fraction form
    71,440/155,182 = 155,182/x
  3. Step 3: Cross multiply
    71,440x = 155,182 × 155,182
  4. Step 4: Simplify right side
    71,440x = 24,081,453,124
  5. Step 5: Solve for x
    x = 24,081,453,124/71,440
  6. Step 6: Final answer
    x = 337,086.41

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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.