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Finding the Third Proportional to 34,182 and 70,716

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Solution

The third proportional to 34,182 and 70,716 is: 146,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,182 : 70,716 = 70,716 : x
  2. Step 2: Convert to fraction form
    34,182/70,716 = 70,716/x
  3. Step 3: Cross multiply
    34,182x = 70,716 × 70,716
  4. Step 4: Simplify right side
    34,182x = 5,000,752,656
  5. Step 5: Solve for x
    x = 5,000,752,656/34,182
  6. Step 6: Final answer
    x = 146,297.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.