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Finding the Third Proportional to 67,510 and 106,761

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Solution

The third proportional to 67,510 and 106,761 is: 168,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,510 : 106,761 = 106,761 : x
  2. Step 2: Convert to fraction form
    67,510/106,761 = 106,761/x
  3. Step 3: Cross multiply
    67,510x = 106,761 × 106,761
  4. Step 4: Simplify right side
    67,510x = 11,397,911,121
  5. Step 5: Solve for x
    x = 11,397,911,121/67,510
  6. Step 6: Final answer
    x = 168,832.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.