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Finding the Third Proportional to 47,223 and 102,057.75

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Solution

The third proportional to 47,223 and 102,057.75 is: 220,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223 : 102,057.75 = 102,057.75 : x
  2. Step 2: Convert to fraction form
    47,223/102,057.75 = 102,057.75/x
  3. Step 3: Cross multiply
    47,223x = 102,057.75 × 102,057.75
  4. Step 4: Simplify right side
    47,223x = 10,415,784,335.06
  5. Step 5: Solve for x
    x = 10,415,784,335.06/47,223
  6. Step 6: Final answer
    x = 220,565.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.