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Finding the Third Proportional to 92,834 and 161,850

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Solution

The third proportional to 92,834 and 161,850 is: 282,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,834 : 161,850 = 161,850 : x
  2. Step 2: Convert to fraction form
    92,834/161,850 = 161,850/x
  3. Step 3: Cross multiply
    92,834x = 161,850 × 161,850
  4. Step 4: Simplify right side
    92,834x = 26,195,422,500
  5. Step 5: Solve for x
    x = 26,195,422,500/92,834
  6. Step 6: Final answer
    x = 282,174.88

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.