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Finding the Third Proportional to 67,277.25 and 105,551.44

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Solution

The third proportional to 67,277.25 and 105,551.44 is: 165,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,277.25 : 105,551.44 = 105,551.44 : x
  2. Step 2: Convert to fraction form
    67,277.25/105,551.44 = 105,551.44/x
  3. Step 3: Cross multiply
    67,277.25x = 105,551.44 × 105,551.44
  4. Step 4: Simplify right side
    67,277.25x = 11,141,105,958.32
  5. Step 5: Solve for x
    x = 11,141,105,958.32/67,277.25
  6. Step 6: Final answer
    x = 165,599.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.