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Finding the Third Proportional to 70,576 and 151,385

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Solution

The third proportional to 70,576 and 151,385 is: 324,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576 : 151,385 = 151,385 : x
  2. Step 2: Convert to fraction form
    70,576/151,385 = 151,385/x
  3. Step 3: Cross multiply
    70,576x = 151,385 × 151,385
  4. Step 4: Simplify right side
    70,576x = 22,917,418,225
  5. Step 5: Solve for x
    x = 22,917,418,225/70,576
  6. Step 6: Final answer
    x = 324,719.71

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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.