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Finding the Third Proportional to 95,052 and 139,122

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Solution

The third proportional to 95,052 and 139,122 is: 203,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,052 : 139,122 = 139,122 : x
  2. Step 2: Convert to fraction form
    95,052/139,122 = 139,122/x
  3. Step 3: Cross multiply
    95,052x = 139,122 × 139,122
  4. Step 4: Simplify right side
    95,052x = 19,354,930,884
  5. Step 5: Solve for x
    x = 19,354,930,884/95,052
  6. Step 6: Final answer
    x = 203,624.66

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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.