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Finding the Third Proportional to 96,638 and 153,741

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Solution

The third proportional to 96,638 and 153,741 is: 244,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638 : 153,741 = 153,741 : x
  2. Step 2: Convert to fraction form
    96,638/153,741 = 153,741/x
  3. Step 3: Cross multiply
    96,638x = 153,741 × 153,741
  4. Step 4: Simplify right side
    96,638x = 23,636,295,081
  5. Step 5: Solve for x
    x = 23,636,295,081/96,638
  6. Step 6: Final answer
    x = 244,585.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.