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Finding the Third Proportional to 62,907 and 136,722

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Solution

The third proportional to 62,907 and 136,722 is: 297,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,907 : 136,722 = 136,722 : x
  2. Step 2: Convert to fraction form
    62,907/136,722 = 136,722/x
  3. Step 3: Cross multiply
    62,907x = 136,722 × 136,722
  4. Step 4: Simplify right side
    62,907x = 18,692,905,284
  5. Step 5: Solve for x
    x = 18,692,905,284/62,907
  6. Step 6: Final answer
    x = 297,151.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.