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Finding the Third Proportional to 129,824 and 196,138

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Solution

The third proportional to 129,824 and 196,138 is: 296,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,824 : 196,138 = 196,138 : x
  2. Step 2: Convert to fraction form
    129,824/196,138 = 196,138/x
  3. Step 3: Cross multiply
    129,824x = 196,138 × 196,138
  4. Step 4: Simplify right side
    129,824x = 38,470,115,044
  5. Step 5: Solve for x
    x = 38,470,115,044/129,824
  6. Step 6: Final answer
    x = 296,325.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.