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Finding the Third Proportional to 107,270 and 160,696

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Solution

The third proportional to 107,270 and 160,696 is: 240,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,270 : 160,696 = 160,696 : x
  2. Step 2: Convert to fraction form
    107,270/160,696 = 160,696/x
  3. Step 3: Cross multiply
    107,270x = 160,696 × 160,696
  4. Step 4: Simplify right side
    107,270x = 25,823,204,416
  5. Step 5: Solve for x
    x = 25,823,204,416/107,270
  6. Step 6: Final answer
    x = 240,730.91

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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.