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Finding the Third Proportional to 131,058 and 196,119

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Solution

The third proportional to 131,058 and 196,119 is: 293,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,058 : 196,119 = 196,119 : x
  2. Step 2: Convert to fraction form
    131,058/196,119 = 196,119/x
  3. Step 3: Cross multiply
    131,058x = 196,119 × 196,119
  4. Step 4: Simplify right side
    131,058x = 38,462,662,161
  5. Step 5: Solve for x
    x = 38,462,662,161/131,058
  6. Step 6: Final answer
    x = 293,478.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.