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Finding the Third Proportional to 95,842 and 147,112

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Solution

The third proportional to 95,842 and 147,112 is: 225,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,842 : 147,112 = 147,112 : x
  2. Step 2: Convert to fraction form
    95,842/147,112 = 147,112/x
  3. Step 3: Cross multiply
    95,842x = 147,112 × 147,112
  4. Step 4: Simplify right side
    95,842x = 21,641,940,544
  5. Step 5: Solve for x
    x = 21,641,940,544/95,842
  6. Step 6: Final answer
    x = 225,808.52

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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.