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Finding the Third Proportional to 95,424 and 147,828.75

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Solution

The third proportional to 95,424 and 147,828.75 is: 229,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,424 : 147,828.75 = 147,828.75 : x
  2. Step 2: Convert to fraction form
    95,424/147,828.75 = 147,828.75/x
  3. Step 3: Cross multiply
    95,424x = 147,828.75 × 147,828.75
  4. Step 4: Simplify right side
    95,424x = 21,853,339,326.56
  5. Step 5: Solve for x
    x = 21,853,339,326.56/95,424
  6. Step 6: Final answer
    x = 229,013.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.