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Finding the Third Proportional to 63,626 and 86,367

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Solution

The third proportional to 63,626 and 86,367 is: 117,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,626 : 86,367 = 86,367 : x
  2. Step 2: Convert to fraction form
    63,626/86,367 = 86,367/x
  3. Step 3: Cross multiply
    63,626x = 86,367 × 86,367
  4. Step 4: Simplify right side
    63,626x = 7,459,258,689
  5. Step 5: Solve for x
    x = 7,459,258,689/63,626
  6. Step 6: Final answer
    x = 117,236.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.