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Finding the Third Proportional to 95,844 and 147,115

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Solution

The third proportional to 95,844 and 147,115 is: 225,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,844 : 147,115 = 147,115 : x
  2. Step 2: Convert to fraction form
    95,844/147,115 = 147,115/x
  3. Step 3: Cross multiply
    95,844x = 147,115 × 147,115
  4. Step 4: Simplify right side
    95,844x = 21,642,823,225
  5. Step 5: Solve for x
    x = 21,642,823,225/95,844
  6. Step 6: Final answer
    x = 225,813.02

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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.