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Finding the Third Proportional to 67,968 and 91,332

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Solution

The third proportional to 67,968 and 91,332 is: 122,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,968 : 91,332 = 91,332 : x
  2. Step 2: Convert to fraction form
    67,968/91,332 = 91,332/x
  3. Step 3: Cross multiply
    67,968x = 91,332 × 91,332
  4. Step 4: Simplify right side
    67,968x = 8,341,534,224
  5. Step 5: Solve for x
    x = 8,341,534,224/67,968
  6. Step 6: Final answer
    x = 122,727.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.