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Finding the Third Proportional to 58,062 and 127,191

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Solution

The third proportional to 58,062 and 127,191 is: 278,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,062 : 127,191 = 127,191 : x
  2. Step 2: Convert to fraction form
    58,062/127,191 = 127,191/x
  3. Step 3: Cross multiply
    58,062x = 127,191 × 127,191
  4. Step 4: Simplify right side
    58,062x = 16,177,550,481
  5. Step 5: Solve for x
    x = 16,177,550,481/58,062
  6. Step 6: Final answer
    x = 278,625.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.