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Finding the Third Proportional to 67,840 and 108,960

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Solution

The third proportional to 67,840 and 108,960 is: 175,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,840 : 108,960 = 108,960 : x
  2. Step 2: Convert to fraction form
    67,840/108,960 = 108,960/x
  3. Step 3: Cross multiply
    67,840x = 108,960 × 108,960
  4. Step 4: Simplify right side
    67,840x = 11,872,281,600
  5. Step 5: Solve for x
    x = 11,872,281,600/67,840
  6. Step 6: Final answer
    x = 175,004.15

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.