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Finding the Third Proportional to 107,865 and 168,839

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Solution

The third proportional to 107,865 and 168,839 is: 264,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,865 : 168,839 = 168,839 : x
  2. Step 2: Convert to fraction form
    107,865/168,839 = 168,839/x
  3. Step 3: Cross multiply
    107,865x = 168,839 × 168,839
  4. Step 4: Simplify right side
    107,865x = 28,506,607,921
  5. Step 5: Solve for x
    x = 28,506,607,921/107,865
  6. Step 6: Final answer
    x = 264,280.42

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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.