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Finding the Third Proportional to 34,959 and 75,750

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Solution

The third proportional to 34,959 and 75,750 is: 164,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,959 : 75,750 = 75,750 : x
  2. Step 2: Convert to fraction form
    34,959/75,750 = 75,750/x
  3. Step 3: Cross multiply
    34,959x = 75,750 × 75,750
  4. Step 4: Simplify right side
    34,959x = 5,738,062,500
  5. Step 5: Solve for x
    x = 5,738,062,500/34,959
  6. Step 6: Final answer
    x = 164,136.92

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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.