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Finding the Third Proportional to 70,554 and 108,078.75

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Solution

The third proportional to 70,554 and 108,078.75 is: 165,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,554 : 108,078.75 = 108,078.75 : x
  2. Step 2: Convert to fraction form
    70,554/108,078.75 = 108,078.75/x
  3. Step 3: Cross multiply
    70,554x = 108,078.75 × 108,078.75
  4. Step 4: Simplify right side
    70,554x = 11,681,016,201.56
  5. Step 5: Solve for x
    x = 11,681,016,201.56/70,554
  6. Step 6: Final answer
    x = 165,561.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.