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Finding the Third Proportional to 68,626 and 106,360

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Solution

The third proportional to 68,626 and 106,360 is: 164,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,626 : 106,360 = 106,360 : x
  2. Step 2: Convert to fraction form
    68,626/106,360 = 106,360/x
  3. Step 3: Cross multiply
    68,626x = 106,360 × 106,360
  4. Step 4: Simplify right side
    68,626x = 11,312,449,600
  5. Step 5: Solve for x
    x = 11,312,449,600/68,626
  6. Step 6: Final answer
    x = 164,842.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.