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Finding the Third Proportional to 35,146 and 77,204

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Solution

The third proportional to 35,146 and 77,204 is: 169,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,146 : 77,204 = 77,204 : x
  2. Step 2: Convert to fraction form
    35,146/77,204 = 77,204/x
  3. Step 3: Cross multiply
    35,146x = 77,204 × 77,204
  4. Step 4: Simplify right side
    35,146x = 5,960,457,616
  5. Step 5: Solve for x
    x = 5,960,457,616/35,146
  6. Step 6: Final answer
    x = 169,591.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.