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Finding the Third Proportional to 62,721 and 135,290.25

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Solution

The third proportional to 62,721 and 135,290.25 is: 291,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,721 : 135,290.25 = 135,290.25 : x
  2. Step 2: Convert to fraction form
    62,721/135,290.25 = 135,290.25/x
  3. Step 3: Cross multiply
    62,721x = 135,290.25 × 135,290.25
  4. Step 4: Simplify right side
    62,721x = 18,303,451,745.06
  5. Step 5: Solve for x
    x = 18,303,451,745.06/62,721
  6. Step 6: Final answer
    x = 291,823.34

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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.