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Finding the Third Proportional to 58,927 and 127,189

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Solution

The third proportional to 58,927 and 127,189 is: 274,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,927 : 127,189 = 127,189 : x
  2. Step 2: Convert to fraction form
    58,927/127,189 = 127,189/x
  3. Step 3: Cross multiply
    58,927x = 127,189 × 127,189
  4. Step 4: Simplify right side
    58,927x = 16,177,041,721
  5. Step 5: Solve for x
    x = 16,177,041,721/58,927
  6. Step 6: Final answer
    x = 274,526.82

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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.