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Finding the Third Proportional to 58,702 and 126,976

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Solution

The third proportional to 58,702 and 126,976 is: 274,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,702 : 126,976 = 126,976 : x
  2. Step 2: Convert to fraction form
    58,702/126,976 = 126,976/x
  3. Step 3: Cross multiply
    58,702x = 126,976 × 126,976
  4. Step 4: Simplify right side
    58,702x = 16,122,904,576
  5. Step 5: Solve for x
    x = 16,122,904,576/58,702
  6. Step 6: Final answer
    x = 274,656.82

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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.