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Finding the Third Proportional to 98,126.25 and 155,633.63

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Solution

The third proportional to 98,126.25 and 155,633.63 is: 246,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,126.25 : 155,633.63 = 155,633.63 : x
  2. Step 2: Convert to fraction form
    98,126.25/155,633.63 = 155,633.63/x
  3. Step 3: Cross multiply
    98,126.25x = 155,633.63 × 155,633.63
  4. Step 4: Simplify right side
    98,126.25x = 24,221,825,230.64
  5. Step 5: Solve for x
    x = 24,221,825,230.64/98,126.25
  6. Step 6: Final answer
    x = 246,843.48

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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.