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Finding the Third Proportional to 127,161 and 196,587

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Solution

The third proportional to 127,161 and 196,587 is: 303,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,161 : 196,587 = 196,587 : x
  2. Step 2: Convert to fraction form
    127,161/196,587 = 196,587/x
  3. Step 3: Cross multiply
    127,161x = 196,587 × 196,587
  4. Step 4: Simplify right side
    127,161x = 38,646,448,569
  5. Step 5: Solve for x
    x = 38,646,448,569/127,161
  6. Step 6: Final answer
    x = 303,917.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.