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Finding the Third Proportional to 68,688 and 107,568

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Solution

The third proportional to 68,688 and 107,568 is: 168,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,688 : 107,568 = 107,568 : x
  2. Step 2: Convert to fraction form
    68,688/107,568 = 107,568/x
  3. Step 3: Cross multiply
    68,688x = 107,568 × 107,568
  4. Step 4: Simplify right side
    68,688x = 11,570,874,624
  5. Step 5: Solve for x
    x = 11,570,874,624/68,688
  6. Step 6: Final answer
    x = 168,455.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.