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Finding the Third Proportional to 47,091 and 101,651

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Solution

The third proportional to 47,091 and 101,651 is: 219,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,091 : 101,651 = 101,651 : x
  2. Step 2: Convert to fraction form
    47,091/101,651 = 101,651/x
  3. Step 3: Cross multiply
    47,091x = 101,651 × 101,651
  4. Step 4: Simplify right side
    47,091x = 10,332,925,801
  5. Step 5: Solve for x
    x = 10,332,925,801/47,091
  6. Step 6: Final answer
    x = 219,424.64

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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.