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Finding the Third Proportional to 43,069 and 91,355.75

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Solution

The third proportional to 43,069 and 91,355.75 is: 193,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,069 : 91,355.75 = 91,355.75 : x
  2. Step 2: Convert to fraction form
    43,069/91,355.75 = 91,355.75/x
  3. Step 3: Cross multiply
    43,069x = 91,355.75 × 91,355.75
  4. Step 4: Simplify right side
    43,069x = 8,345,873,058.06
  5. Step 5: Solve for x
    x = 8,345,873,058.06/43,069
  6. Step 6: Final answer
    x = 193,779.12

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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.