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Finding the Third Proportional to 95,704 and 146,905

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Solution

The third proportional to 95,704 and 146,905 is: 225,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,704 : 146,905 = 146,905 : x
  2. Step 2: Convert to fraction form
    95,704/146,905 = 146,905/x
  3. Step 3: Cross multiply
    95,704x = 146,905 × 146,905
  4. Step 4: Simplify right side
    95,704x = 21,581,079,025
  5. Step 5: Solve for x
    x = 21,581,079,025/95,704
  6. Step 6: Final answer
    x = 225,498.19

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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.