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Finding the Third Proportional to 95,857.50 and 201,630

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Solution

The third proportional to 95,857.50 and 201,630 is: 424,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,857.50 : 201,630 = 201,630 : x
  2. Step 2: Convert to fraction form
    95,857.50/201,630 = 201,630/x
  3. Step 3: Cross multiply
    95,857.50x = 201,630 × 201,630
  4. Step 4: Simplify right side
    95,857.50x = 40,654,656,900
  5. Step 5: Solve for x
    x = 40,654,656,900/95,857.50
  6. Step 6: Final answer
    x = 424,115.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.