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Finding the Third Proportional to 62,967 and 137,013

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Solution

The third proportional to 62,967 and 137,013 is: 298,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,967 : 137,013 = 137,013 : x
  2. Step 2: Convert to fraction form
    62,967/137,013 = 137,013/x
  3. Step 3: Cross multiply
    62,967x = 137,013 × 137,013
  4. Step 4: Simplify right side
    62,967x = 18,772,562,169
  5. Step 5: Solve for x
    x = 18,772,562,169/62,967
  6. Step 6: Final answer
    x = 298,133.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.