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Finding the Third Proportional to 32,902 and 71,064

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Solution

The third proportional to 32,902 and 71,064 is: 153,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902 : 71,064 = 71,064 : x
  2. Step 2: Convert to fraction form
    32,902/71,064 = 71,064/x
  3. Step 3: Cross multiply
    32,902x = 71,064 × 71,064
  4. Step 4: Simplify right side
    32,902x = 5,050,092,096
  5. Step 5: Solve for x
    x = 5,050,092,096/32,902
  6. Step 6: Final answer
    x = 153,488.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.