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Finding the Third Proportional to 64,860 and 95,182

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Solution

The third proportional to 64,860 and 95,182 is: 139,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,860 : 95,182 = 95,182 : x
  2. Step 2: Convert to fraction form
    64,860/95,182 = 95,182/x
  3. Step 3: Cross multiply
    64,860x = 95,182 × 95,182
  4. Step 4: Simplify right side
    64,860x = 9,059,613,124
  5. Step 5: Solve for x
    x = 9,059,613,124/64,860
  6. Step 6: Final answer
    x = 139,679.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.