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Finding the Third Proportional to 67,299 and 97,816

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Solution

The third proportional to 67,299 and 97,816 is: 142,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,299 : 97,816 = 97,816 : x
  2. Step 2: Convert to fraction form
    67,299/97,816 = 97,816/x
  3. Step 3: Cross multiply
    67,299x = 97,816 × 97,816
  4. Step 4: Simplify right side
    67,299x = 9,567,969,856
  5. Step 5: Solve for x
    x = 9,567,969,856/67,299
  6. Step 6: Final answer
    x = 142,171.06

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.