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Finding the Third Proportional to 62,517 and 135,009

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Solution

The third proportional to 62,517 and 135,009 is: 291,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,517 : 135,009 = 135,009 : x
  2. Step 2: Convert to fraction form
    62,517/135,009 = 135,009/x
  3. Step 3: Cross multiply
    62,517x = 135,009 × 135,009
  4. Step 4: Simplify right side
    62,517x = 18,227,430,081
  5. Step 5: Solve for x
    x = 18,227,430,081/62,517
  6. Step 6: Final answer
    x = 291,559.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.