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Finding the Third Proportional to 47,091 and 99,690

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Solution

The third proportional to 47,091 and 99,690 is: 211,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,091 : 99,690 = 99,690 : x
  2. Step 2: Convert to fraction form
    47,091/99,690 = 99,690/x
  3. Step 3: Cross multiply
    47,091x = 99,690 × 99,690
  4. Step 4: Simplify right side
    47,091x = 9,938,096,100
  5. Step 5: Solve for x
    x = 9,938,096,100/47,091
  6. Step 6: Final answer
    x = 211,040.24

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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.