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Finding the Third Proportional to 62,976 and 131,088

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Solution

The third proportional to 62,976 and 131,088 is: 272,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,976 : 131,088 = 131,088 : x
  2. Step 2: Convert to fraction form
    62,976/131,088 = 131,088/x
  3. Step 3: Cross multiply
    62,976x = 131,088 × 131,088
  4. Step 4: Simplify right side
    62,976x = 17,184,063,744
  5. Step 5: Solve for x
    x = 17,184,063,744/62,976
  6. Step 6: Final answer
    x = 272,866.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.