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Finding the Third Proportional to 65,049 and 95,103

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Solution

The third proportional to 65,049 and 95,103 is: 139,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049 : 95,103 = 95,103 : x
  2. Step 2: Convert to fraction form
    65,049/95,103 = 95,103/x
  3. Step 3: Cross multiply
    65,049x = 95,103 × 95,103
  4. Step 4: Simplify right side
    65,049x = 9,044,580,609
  5. Step 5: Solve for x
    x = 9,044,580,609/65,049
  6. Step 6: Final answer
    x = 139,042.58

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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.