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Finding the Third Proportional to 67,707 and 94,655

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Solution

The third proportional to 67,707 and 94,655 is: 132,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,707 : 94,655 = 94,655 : x
  2. Step 2: Convert to fraction form
    67,707/94,655 = 94,655/x
  3. Step 3: Cross multiply
    67,707x = 94,655 × 94,655
  4. Step 4: Simplify right side
    67,707x = 8,959,569,025
  5. Step 5: Solve for x
    x = 8,959,569,025/67,707
  6. Step 6: Final answer
    x = 132,328.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.