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Finding the Third Proportional to 47,289 and 73,224

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Solution

The third proportional to 47,289 and 73,224 is: 113,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,289 : 73,224 = 73,224 : x
  2. Step 2: Convert to fraction form
    47,289/73,224 = 73,224/x
  3. Step 3: Cross multiply
    47,289x = 73,224 × 73,224
  4. Step 4: Simplify right side
    47,289x = 5,361,754,176
  5. Step 5: Solve for x
    x = 5,361,754,176/47,289
  6. Step 6: Final answer
    x = 113,382.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.