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Finding the Third Proportional to 98,934 and 159,525

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Solution

The third proportional to 98,934 and 159,525 is: 257,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,934 : 159,525 = 159,525 : x
  2. Step 2: Convert to fraction form
    98,934/159,525 = 159,525/x
  3. Step 3: Cross multiply
    98,934x = 159,525 × 159,525
  4. Step 4: Simplify right side
    98,934x = 25,448,225,625
  5. Step 5: Solve for x
    x = 25,448,225,625/98,934
  6. Step 6: Final answer
    x = 257,224.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.