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Finding the Third Proportional to 34,055 and 79,138

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Solution

The third proportional to 34,055 and 79,138 is: 183,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,055 : 79,138 = 79,138 : x
  2. Step 2: Convert to fraction form
    34,055/79,138 = 79,138/x
  3. Step 3: Cross multiply
    34,055x = 79,138 × 79,138
  4. Step 4: Simplify right side
    34,055x = 6,262,823,044
  5. Step 5: Solve for x
    x = 6,262,823,044/34,055
  6. Step 6: Final answer
    x = 183,903.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.