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Finding the Third Proportional to 59,679 and 80,770.50

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Solution

The third proportional to 59,679 and 80,770.50 is: 109,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,679 : 80,770.50 = 80,770.50 : x
  2. Step 2: Convert to fraction form
    59,679/80,770.50 = 80,770.50/x
  3. Step 3: Cross multiply
    59,679x = 80,770.50 × 80,770.50
  4. Step 4: Simplify right side
    59,679x = 6,523,873,670.25
  5. Step 5: Solve for x
    x = 6,523,873,670.25/59,679
  6. Step 6: Final answer
    x = 109,316.07

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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.