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Finding the Third Proportional to 98,709.75 and 158,965.88

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Solution

The third proportional to 98,709.75 and 158,965.88 is: 256,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709.75 : 158,965.88 = 158,965.88 : x
  2. Step 2: Convert to fraction form
    98,709.75/158,965.88 = 158,965.88/x
  3. Step 3: Cross multiply
    98,709.75x = 158,965.88 × 158,965.88
  4. Step 4: Simplify right side
    98,709.75x = 25,270,149,414.52
  5. Step 5: Solve for x
    x = 25,270,149,414.52/98,709.75
  6. Step 6: Final answer
    x = 256,004.59

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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.