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Finding the Third Proportional to 34,234 and 74,060

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Solution

The third proportional to 34,234 and 74,060 is: 160,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234 : 74,060 = 74,060 : x
  2. Step 2: Convert to fraction form
    34,234/74,060 = 74,060/x
  3. Step 3: Cross multiply
    34,234x = 74,060 × 74,060
  4. Step 4: Simplify right side
    34,234x = 5,484,883,600
  5. Step 5: Solve for x
    x = 5,484,883,600/34,234
  6. Step 6: Final answer
    x = 160,217.43

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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.