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Finding the Third Proportional to 67,654.50 and 153,016.50

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Solution

The third proportional to 67,654.50 and 153,016.50 is: 346,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,654.50 : 153,016.50 = 153,016.50 : x
  2. Step 2: Convert to fraction form
    67,654.50/153,016.50 = 153,016.50/x
  3. Step 3: Cross multiply
    67,654.50x = 153,016.50 × 153,016.50
  4. Step 4: Simplify right side
    67,654.50x = 23,414,049,272.25
  5. Step 5: Solve for x
    x = 23,414,049,272.25/67,654.50
  6. Step 6: Final answer
    x = 346,082.66

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.