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Finding the Third Proportional to 67,846.52 and 144,710.42

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Solution

The third proportional to 67,846.52 and 144,710.42 is: 308,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,846.52 : 144,710.42 = 144,710.42 : x
  2. Step 2: Convert to fraction form
    67,846.52/144,710.42 = 144,710.42/x
  3. Step 3: Cross multiply
    67,846.52x = 144,710.42 × 144,710.42
  4. Step 4: Simplify right side
    67,846.52x = 20,941,104,362.10
  5. Step 5: Solve for x
    x = 20,941,104,362.10/67,846.52
  6. Step 6: Final answer
    x = 308,654.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.