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Finding the Third Proportional to 80,659 and 124,833

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Solution

The third proportional to 80,659 and 124,833 is: 193,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,659 : 124,833 = 124,833 : x
  2. Step 2: Convert to fraction form
    80,659/124,833 = 124,833/x
  3. Step 3: Cross multiply
    80,659x = 124,833 × 124,833
  4. Step 4: Simplify right side
    80,659x = 15,583,277,889
  5. Step 5: Solve for x
    x = 15,583,277,889/80,659
  6. Step 6: Final answer
    x = 193,199.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.