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Finding the Third Proportional to 62,005.50 and 134,322.75

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Solution

The third proportional to 62,005.50 and 134,322.75 is: 290,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,005.50 : 134,322.75 = 134,322.75 : x
  2. Step 2: Convert to fraction form
    62,005.50/134,322.75 = 134,322.75/x
  3. Step 3: Cross multiply
    62,005.50x = 134,322.75 × 134,322.75
  4. Step 4: Simplify right side
    62,005.50x = 18,042,601,167.56
  5. Step 5: Solve for x
    x = 18,042,601,167.56/62,005.50
  6. Step 6: Final answer
    x = 290,983.88

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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.