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Finding the Third Proportional to 63,364.50 and 137,679.75

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Solution

The third proportional to 63,364.50 and 137,679.75 is: 299,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,364.50 : 137,679.75 = 137,679.75 : x
  2. Step 2: Convert to fraction form
    63,364.50/137,679.75 = 137,679.75/x
  3. Step 3: Cross multiply
    63,364.50x = 137,679.75 × 137,679.75
  4. Step 4: Simplify right side
    63,364.50x = 18,955,713,560.06
  5. Step 5: Solve for x
    x = 18,955,713,560.06/63,364.50
  6. Step 6: Final answer
    x = 299,153.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.