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Finding the Third Proportional to 62,785 and 137,963

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Solution

The third proportional to 62,785 and 137,963 is: 303,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,785 : 137,963 = 137,963 : x
  2. Step 2: Convert to fraction form
    62,785/137,963 = 137,963/x
  3. Step 3: Cross multiply
    62,785x = 137,963 × 137,963
  4. Step 4: Simplify right side
    62,785x = 19,033,789,369
  5. Step 5: Solve for x
    x = 19,033,789,369/62,785
  6. Step 6: Final answer
    x = 303,158.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.