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Finding the Third Proportional to 127,706 and 259,058

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Solution

The third proportional to 127,706 and 259,058 is: 525,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,706 : 259,058 = 259,058 : x
  2. Step 2: Convert to fraction form
    127,706/259,058 = 259,058/x
  3. Step 3: Cross multiply
    127,706x = 259,058 × 259,058
  4. Step 4: Simplify right side
    127,706x = 67,111,047,364
  5. Step 5: Solve for x
    x = 67,111,047,364/127,706
  6. Step 6: Final answer
    x = 525,512.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.