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Finding the Third Proportional to 95,909 and 146,778

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Solution

The third proportional to 95,909 and 146,778 is: 224,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,909 : 146,778 = 146,778 : x
  2. Step 2: Convert to fraction form
    95,909/146,778 = 146,778/x
  3. Step 3: Cross multiply
    95,909x = 146,778 × 146,778
  4. Step 4: Simplify right side
    95,909x = 21,543,781,284
  5. Step 5: Solve for x
    x = 21,543,781,284/95,909
  6. Step 6: Final answer
    x = 224,627.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.