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Finding the Third Proportional to 67,329 and 97,880

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Solution

The third proportional to 67,329 and 97,880 is: 142,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,329 : 97,880 = 97,880 : x
  2. Step 2: Convert to fraction form
    67,329/97,880 = 97,880/x
  3. Step 3: Cross multiply
    67,329x = 97,880 × 97,880
  4. Step 4: Simplify right side
    67,329x = 9,580,494,400
  5. Step 5: Solve for x
    x = 9,580,494,400/67,329
  6. Step 6: Final answer
    x = 142,293.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.