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Finding the Third Proportional to 67,231.69 and 99,307.69

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Solution

The third proportional to 67,231.69 and 99,307.69 is: 146,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,231.69 : 99,307.69 = 99,307.69 : x
  2. Step 2: Convert to fraction form
    67,231.69/99,307.69 = 99,307.69/x
  3. Step 3: Cross multiply
    67,231.69x = 99,307.69 × 99,307.69
  4. Step 4: Simplify right side
    67,231.69x = 9,862,016,796.60
  5. Step 5: Solve for x
    x = 9,862,016,796.60/67,231.69
  6. Step 6: Final answer
    x = 146,687.03

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.