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Finding the Third Proportional to 77,843 and 124,865

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Solution

The third proportional to 77,843 and 124,865 is: 200,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,843 : 124,865 = 124,865 : x
  2. Step 2: Convert to fraction form
    77,843/124,865 = 124,865/x
  3. Step 3: Cross multiply
    77,843x = 124,865 × 124,865
  4. Step 4: Simplify right side
    77,843x = 15,591,268,225
  5. Step 5: Solve for x
    x = 15,591,268,225/77,843
  6. Step 6: Final answer
    x = 200,291.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.