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Finding the Third Proportional to 92,784 and 144,027

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Solution

The third proportional to 92,784 and 144,027 is: 223,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,784 : 144,027 = 144,027 : x
  2. Step 2: Convert to fraction form
    92,784/144,027 = 144,027/x
  3. Step 3: Cross multiply
    92,784x = 144,027 × 144,027
  4. Step 4: Simplify right side
    92,784x = 20,743,776,729
  5. Step 5: Solve for x
    x = 20,743,776,729/92,784
  6. Step 6: Final answer
    x = 223,570.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.