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Finding the Third Proportional to 32,959 and 71,102

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Solution

The third proportional to 32,959 and 71,102 is: 153,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959 : 71,102 = 71,102 : x
  2. Step 2: Convert to fraction form
    32,959/71,102 = 71,102/x
  3. Step 3: Cross multiply
    32,959x = 71,102 × 71,102
  4. Step 4: Simplify right side
    32,959x = 5,055,494,404
  5. Step 5: Solve for x
    x = 5,055,494,404/32,959
  6. Step 6: Final answer
    x = 153,387.37

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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.