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Finding the Third Proportional to 70,125 and 150,216

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Solution

The third proportional to 70,125 and 150,216 is: 321,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125 : 150,216 = 150,216 : x
  2. Step 2: Convert to fraction form
    70,125/150,216 = 150,216/x
  3. Step 3: Cross multiply
    70,125x = 150,216 × 150,216
  4. Step 4: Simplify right side
    70,125x = 22,564,846,656
  5. Step 5: Solve for x
    x = 22,564,846,656/70,125
  6. Step 6: Final answer
    x = 321,780.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.