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Finding the Third Proportional to 63,563.75 and 86,327.75

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Solution

The third proportional to 63,563.75 and 86,327.75 is: 117,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,563.75 : 86,327.75 = 86,327.75 : x
  2. Step 2: Convert to fraction form
    63,563.75/86,327.75 = 86,327.75/x
  3. Step 3: Cross multiply
    63,563.75x = 86,327.75 × 86,327.75
  4. Step 4: Simplify right side
    63,563.75x = 7,452,480,420.06
  5. Step 5: Solve for x
    x = 7,452,480,420.06/63,563.75
  6. Step 6: Final answer
    x = 117,244.19

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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.