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Finding the Third Proportional to 40,684 and 95,050

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Solution

The third proportional to 40,684 and 95,050 is: 222,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,684 : 95,050 = 95,050 : x
  2. Step 2: Convert to fraction form
    40,684/95,050 = 95,050/x
  3. Step 3: Cross multiply
    40,684x = 95,050 × 95,050
  4. Step 4: Simplify right side
    40,684x = 9,034,502,500
  5. Step 5: Solve for x
    x = 9,034,502,500/40,684
  6. Step 6: Final answer
    x = 222,065.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.