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Finding the Third Proportional to 67,713.47 and 146,141.72

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Solution

The third proportional to 67,713.47 and 146,141.72 is: 315,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,713.47 : 146,141.72 = 146,141.72 : x
  2. Step 2: Convert to fraction form
    67,713.47/146,141.72 = 146,141.72/x
  3. Step 3: Cross multiply
    67,713.47x = 146,141.72 × 146,141.72
  4. Step 4: Simplify right side
    67,713.47x = 21,357,401,959.20
  5. Step 5: Solve for x
    x = 21,357,401,959.20/67,713.47
  6. Step 6: Final answer
    x = 315,408.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.