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Finding the Third Proportional to 107,888 and 167,508

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Solution

The third proportional to 107,888 and 167,508 is: 260,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,888 : 167,508 = 167,508 : x
  2. Step 2: Convert to fraction form
    107,888/167,508 = 167,508/x
  3. Step 3: Cross multiply
    107,888x = 167,508 × 167,508
  4. Step 4: Simplify right side
    107,888x = 28,058,930,064
  5. Step 5: Solve for x
    x = 28,058,930,064/107,888
  6. Step 6: Final answer
    x = 260,074.62

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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.