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Finding the Third Proportional to 47,106 and 99,720

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Solution

The third proportional to 47,106 and 99,720 is: 211,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106 : 99,720 = 99,720 : x
  2. Step 2: Convert to fraction form
    47,106/99,720 = 99,720/x
  3. Step 3: Cross multiply
    47,106x = 99,720 × 99,720
  4. Step 4: Simplify right side
    47,106x = 9,944,078,400
  5. Step 5: Solve for x
    x = 9,944,078,400/47,106
  6. Step 6: Final answer
    x = 211,100.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.