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Finding the Third Proportional to 95,060 and 209,020

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Solution

The third proportional to 95,060 and 209,020 is: 459,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,060 : 209,020 = 209,020 : x
  2. Step 2: Convert to fraction form
    95,060/209,020 = 209,020/x
  3. Step 3: Cross multiply
    95,060x = 209,020 × 209,020
  4. Step 4: Simplify right side
    95,060x = 43,689,360,400
  5. Step 5: Solve for x
    x = 43,689,360,400/95,060
  6. Step 6: Final answer
    x = 459,597.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.