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Finding the Third Proportional to 96,636 and 153,738

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Solution

The third proportional to 96,636 and 153,738 is: 244,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,636 : 153,738 = 153,738 : x
  2. Step 2: Convert to fraction form
    96,636/153,738 = 153,738/x
  3. Step 3: Cross multiply
    96,636x = 153,738 × 153,738
  4. Step 4: Simplify right side
    96,636x = 23,635,372,644
  5. Step 5: Solve for x
    x = 23,635,372,644/96,636
  6. Step 6: Final answer
    x = 244,581.45

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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.