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Finding the Third Proportional to 107,864 and 168,838

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Solution

The third proportional to 107,864 and 168,838 is: 264,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,864 : 168,838 = 168,838 : x
  2. Step 2: Convert to fraction form
    107,864/168,838 = 168,838/x
  3. Step 3: Cross multiply
    107,864x = 168,838 × 168,838
  4. Step 4: Simplify right side
    107,864x = 28,506,270,244
  5. Step 5: Solve for x
    x = 28,506,270,244/107,864
  6. Step 6: Final answer
    x = 264,279.74

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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.