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Finding the Third Proportional to 62,658.75 and 95,972.63

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Solution

The third proportional to 62,658.75 and 95,972.63 is: 146,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,658.75 : 95,972.63 = 95,972.63 : x
  2. Step 2: Convert to fraction form
    62,658.75/95,972.63 = 95,972.63/x
  3. Step 3: Cross multiply
    62,658.75x = 95,972.63 × 95,972.63
  4. Step 4: Simplify right side
    62,658.75x = 9,210,744,749.39
  5. Step 5: Solve for x
    x = 9,210,744,749.39/62,658.75
  6. Step 6: Final answer
    x = 146,998.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.