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Finding the Third Proportional to 107,256 and 160,677

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Solution

The third proportional to 107,256 and 160,677 is: 240,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,256 : 160,677 = 160,677 : x
  2. Step 2: Convert to fraction form
    107,256/160,677 = 160,677/x
  3. Step 3: Cross multiply
    107,256x = 160,677 × 160,677
  4. Step 4: Simplify right side
    107,256x = 25,817,098,329
  5. Step 5: Solve for x
    x = 25,817,098,329/107,256
  6. Step 6: Final answer
    x = 240,705.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.