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Finding the Third Proportional to 95,846 and 145,112

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Solution

The third proportional to 95,846 and 145,112 is: 219,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,846 : 145,112 = 145,112 : x
  2. Step 2: Convert to fraction form
    95,846/145,112 = 145,112/x
  3. Step 3: Cross multiply
    95,846x = 145,112 × 145,112
  4. Step 4: Simplify right side
    95,846x = 21,057,492,544
  5. Step 5: Solve for x
    x = 21,057,492,544/95,846
  6. Step 6: Final answer
    x = 219,701.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.