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Finding the Third Proportional to 63,767 and 80,852.50

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Solution

The third proportional to 63,767 and 80,852.50 is: 102,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,767 : 80,852.50 = 80,852.50 : x
  2. Step 2: Convert to fraction form
    63,767/80,852.50 = 80,852.50/x
  3. Step 3: Cross multiply
    63,767x = 80,852.50 × 80,852.50
  4. Step 4: Simplify right side
    63,767x = 6,537,126,756.25
  5. Step 5: Solve for x
    x = 6,537,126,756.25/63,767
  6. Step 6: Final answer
    x = 102,515.83

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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.