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Finding the Third Proportional to 62,273 and 137,629

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Solution

The third proportional to 62,273 and 137,629 is: 304,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,273 : 137,629 = 137,629 : x
  2. Step 2: Convert to fraction form
    62,273/137,629 = 137,629/x
  3. Step 3: Cross multiply
    62,273x = 137,629 × 137,629
  4. Step 4: Simplify right side
    62,273x = 18,941,741,641
  5. Step 5: Solve for x
    x = 18,941,741,641/62,273
  6. Step 6: Final answer
    x = 304,172.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.