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Finding the Third Proportional to 58,939 and 127,223

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Solution

The third proportional to 58,939 and 127,223 is: 274,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,939 : 127,223 = 127,223 : x
  2. Step 2: Convert to fraction form
    58,939/127,223 = 127,223/x
  3. Step 3: Cross multiply
    58,939x = 127,223 × 127,223
  4. Step 4: Simplify right side
    58,939x = 16,185,691,729
  5. Step 5: Solve for x
    x = 16,185,691,729/58,939
  6. Step 6: Final answer
    x = 274,617.68

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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.