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Finding the Third Proportional to 62,775 and 137,943

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Solution

The third proportional to 62,775 and 137,943 is: 303,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,775 : 137,943 = 137,943 : x
  2. Step 2: Convert to fraction form
    62,775/137,943 = 137,943/x
  3. Step 3: Cross multiply
    62,775x = 137,943 × 137,943
  4. Step 4: Simplify right side
    62,775x = 19,028,271,249
  5. Step 5: Solve for x
    x = 19,028,271,249/62,775
  6. Step 6: Final answer
    x = 303,118.62

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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.