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Finding the Third Proportional to 95,957.50 and 202,987

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Solution

The third proportional to 95,957.50 and 202,987 is: 429,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,957.50 : 202,987 = 202,987 : x
  2. Step 2: Convert to fraction form
    95,957.50/202,987 = 202,987/x
  3. Step 3: Cross multiply
    95,957.50x = 202,987 × 202,987
  4. Step 4: Simplify right side
    95,957.50x = 41,203,722,169
  5. Step 5: Solve for x
    x = 41,203,722,169/95,957.50
  6. Step 6: Final answer
    x = 429,395.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.