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Finding the Third Proportional to 63,775 and 80,864.50

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Solution

The third proportional to 63,775 and 80,864.50 is: 102,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,775 : 80,864.50 = 80,864.50 : x
  2. Step 2: Convert to fraction form
    63,775/80,864.50 = 80,864.50/x
  3. Step 3: Cross multiply
    63,775x = 80,864.50 × 80,864.50
  4. Step 4: Simplify right side
    63,775x = 6,539,067,360.25
  5. Step 5: Solve for x
    x = 6,539,067,360.25/63,775
  6. Step 6: Final answer
    x = 102,533.40

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.