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Finding the Third Proportional to 70,896 and 168,600

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Solution

The third proportional to 70,896 and 168,600 is: 400,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896 : 168,600 = 168,600 : x
  2. Step 2: Convert to fraction form
    70,896/168,600 = 168,600/x
  3. Step 3: Cross multiply
    70,896x = 168,600 × 168,600
  4. Step 4: Simplify right side
    70,896x = 28,425,960,000
  5. Step 5: Solve for x
    x = 28,425,960,000/70,896
  6. Step 6: Final answer
    x = 400,952.95

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.