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Finding the Third Proportional to 35,185 and 71,802

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Solution

The third proportional to 35,185 and 71,802 is: 146,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,185 : 71,802 = 71,802 : x
  2. Step 2: Convert to fraction form
    35,185/71,802 = 71,802/x
  3. Step 3: Cross multiply
    35,185x = 71,802 × 71,802
  4. Step 4: Simplify right side
    35,185x = 5,155,527,204
  5. Step 5: Solve for x
    x = 5,155,527,204/35,185
  6. Step 6: Final answer
    x = 146,526.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.