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Finding the Third Proportional to 70,701 and 153,846

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Solution

The third proportional to 70,701 and 153,846 is: 334,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701 : 153,846 = 153,846 : x
  2. Step 2: Convert to fraction form
    70,701/153,846 = 153,846/x
  3. Step 3: Cross multiply
    70,701x = 153,846 × 153,846
  4. Step 4: Simplify right side
    70,701x = 23,668,591,716
  5. Step 5: Solve for x
    x = 23,668,591,716/70,701
  6. Step 6: Final answer
    x = 334,770.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.