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Finding the Third Proportional to 59,631 and 80,698.50

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Solution

The third proportional to 59,631 and 80,698.50 is: 109,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,631 : 80,698.50 = 80,698.50 : x
  2. Step 2: Convert to fraction form
    59,631/80,698.50 = 80,698.50/x
  3. Step 3: Cross multiply
    59,631x = 80,698.50 × 80,698.50
  4. Step 4: Simplify right side
    59,631x = 6,512,247,902.25
  5. Step 5: Solve for x
    x = 6,512,247,902.25/59,631
  6. Step 6: Final answer
    x = 109,209.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.