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Finding the Third Proportional to 43,835 and 95,142

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Solution

The third proportional to 43,835 and 95,142 is: 206,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,835 : 95,142 = 95,142 : x
  2. Step 2: Convert to fraction form
    43,835/95,142 = 95,142/x
  3. Step 3: Cross multiply
    43,835x = 95,142 × 95,142
  4. Step 4: Simplify right side
    43,835x = 9,052,000,164
  5. Step 5: Solve for x
    x = 9,052,000,164/43,835
  6. Step 6: Final answer
    x = 206,501.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.