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Finding the Third Proportional to 110,724 and 171,919

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Solution

The third proportional to 110,724 and 171,919 is: 266,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,724 : 171,919 = 171,919 : x
  2. Step 2: Convert to fraction form
    110,724/171,919 = 171,919/x
  3. Step 3: Cross multiply
    110,724x = 171,919 × 171,919
  4. Step 4: Simplify right side
    110,724x = 29,556,142,561
  5. Step 5: Solve for x
    x = 29,556,142,561/110,724
  6. Step 6: Final answer
    x = 266,935.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.