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Finding the Third Proportional to 34,918 and 75,909

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Solution

The third proportional to 34,918 and 75,909 is: 165,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,918 : 75,909 = 75,909 : x
  2. Step 2: Convert to fraction form
    34,918/75,909 = 75,909/x
  3. Step 3: Cross multiply
    34,918x = 75,909 × 75,909
  4. Step 4: Simplify right side
    34,918x = 5,762,176,281
  5. Step 5: Solve for x
    x = 5,762,176,281/34,918
  6. Step 6: Final answer
    x = 165,020.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.