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Finding the Third Proportional to 32,034 and 68,190

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Solution

The third proportional to 32,034 and 68,190 is: 145,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034 : 68,190 = 68,190 : x
  2. Step 2: Convert to fraction form
    32,034/68,190 = 68,190/x
  3. Step 3: Cross multiply
    32,034x = 68,190 × 68,190
  4. Step 4: Simplify right side
    32,034x = 4,649,876,100
  5. Step 5: Solve for x
    x = 4,649,876,100/32,034
  6. Step 6: Final answer
    x = 145,154.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.