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Finding the Third Proportional to 95,337 and 142,965

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Solution

The third proportional to 95,337 and 142,965 is: 214,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,337 : 142,965 = 142,965 : x
  2. Step 2: Convert to fraction form
    95,337/142,965 = 142,965/x
  3. Step 3: Cross multiply
    95,337x = 142,965 × 142,965
  4. Step 4: Simplify right side
    95,337x = 20,438,991,225
  5. Step 5: Solve for x
    x = 20,438,991,225/95,337
  6. Step 6: Final answer
    x = 214,386.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.