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Finding the Third Proportional to 62,832 and 137,760

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Solution

The third proportional to 62,832 and 137,760 is: 302,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,832 : 137,760 = 137,760 : x
  2. Step 2: Convert to fraction form
    62,832/137,760 = 137,760/x
  3. Step 3: Cross multiply
    62,832x = 137,760 × 137,760
  4. Step 4: Simplify right side
    62,832x = 18,977,817,600
  5. Step 5: Solve for x
    x = 18,977,817,600/62,832
  6. Step 6: Final answer
    x = 302,040.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.