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Finding the Third Proportional to 47,802 and 105,135

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Solution

The third proportional to 47,802 and 105,135 is: 231,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802 : 105,135 = 105,135 : x
  2. Step 2: Convert to fraction form
    47,802/105,135 = 105,135/x
  3. Step 3: Cross multiply
    47,802x = 105,135 × 105,135
  4. Step 4: Simplify right side
    47,802x = 11,053,368,225
  5. Step 5: Solve for x
    x = 11,053,368,225/47,802
  6. Step 6: Final answer
    x = 231,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.