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Finding the Third Proportional to 127,790 and 200,058

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Solution

The third proportional to 127,790 and 200,058 is: 313,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,790 : 200,058 = 200,058 : x
  2. Step 2: Convert to fraction form
    127,790/200,058 = 200,058/x
  3. Step 3: Cross multiply
    127,790x = 200,058 × 200,058
  4. Step 4: Simplify right side
    127,790x = 40,023,203,364
  5. Step 5: Solve for x
    x = 40,023,203,364/127,790
  6. Step 6: Final answer
    x = 313,195.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.