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Finding the Third Proportional to 107,540 and 170,818

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Solution

The third proportional to 107,540 and 170,818 is: 271,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,540 : 170,818 = 170,818 : x
  2. Step 2: Convert to fraction form
    107,540/170,818 = 170,818/x
  3. Step 3: Cross multiply
    107,540x = 170,818 × 170,818
  4. Step 4: Simplify right side
    107,540x = 29,178,789,124
  5. Step 5: Solve for x
    x = 29,178,789,124/107,540
  6. Step 6: Final answer
    x = 271,329.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.