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Finding the Third Proportional to 64,984 and 95,170

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Solution

The third proportional to 64,984 and 95,170 is: 139,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 95,170 = 95,170 : x
  2. Step 2: Convert to fraction form
    64,984/95,170 = 95,170/x
  3. Step 3: Cross multiply
    64,984x = 95,170 × 95,170
  4. Step 4: Simplify right side
    64,984x = 9,057,328,900
  5. Step 5: Solve for x
    x = 9,057,328,900/64,984
  6. Step 6: Final answer
    x = 139,377.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.