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Finding the Third Proportional to 32,361 and 67,486

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Solution

The third proportional to 32,361 and 67,486 is: 140,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361 : 67,486 = 67,486 : x
  2. Step 2: Convert to fraction form
    32,361/67,486 = 67,486/x
  3. Step 3: Cross multiply
    32,361x = 67,486 × 67,486
  4. Step 4: Simplify right side
    32,361x = 4,554,360,196
  5. Step 5: Solve for x
    x = 4,554,360,196/32,361
  6. Step 6: Final answer
    x = 140,736.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.