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Finding the Third Proportional to 70,561 and 150,833

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Solution

The third proportional to 70,561 and 150,833 is: 322,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,561 : 150,833 = 150,833 : x
  2. Step 2: Convert to fraction form
    70,561/150,833 = 150,833/x
  3. Step 3: Cross multiply
    70,561x = 150,833 × 150,833
  4. Step 4: Simplify right side
    70,561x = 22,750,593,889
  5. Step 5: Solve for x
    x = 22,750,593,889/70,561
  6. Step 6: Final answer
    x = 322,424.48

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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.