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Finding the Third Proportional to 80,749.69 and 123,949.69

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Solution

The third proportional to 80,749.69 and 123,949.69 is: 190,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,749.69 : 123,949.69 = 123,949.69 : x
  2. Step 2: Convert to fraction form
    80,749.69/123,949.69 = 123,949.69/x
  3. Step 3: Cross multiply
    80,749.69x = 123,949.69 × 123,949.69
  4. Step 4: Simplify right side
    80,749.69x = 15,363,525,031.35
  5. Step 5: Solve for x
    x = 15,363,525,031.35/80,749.69
  6. Step 6: Final answer
    x = 190,261.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.