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Finding the Third Proportional to 63,239 and 84,589

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Solution

The third proportional to 63,239 and 84,589 is: 113,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,239 : 84,589 = 84,589 : x
  2. Step 2: Convert to fraction form
    63,239/84,589 = 84,589/x
  3. Step 3: Cross multiply
    63,239x = 84,589 × 84,589
  4. Step 4: Simplify right side
    63,239x = 7,155,298,921
  5. Step 5: Solve for x
    x = 7,155,298,921/63,239
  6. Step 6: Final answer
    x = 113,146.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.