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Finding the Third Proportional to 77,226.75 and 119,387.25

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Solution

The third proportional to 77,226.75 and 119,387.25 is: 184,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,226.75 : 119,387.25 = 119,387.25 : x
  2. Step 2: Convert to fraction form
    77,226.75/119,387.25 = 119,387.25/x
  3. Step 3: Cross multiply
    77,226.75x = 119,387.25 × 119,387.25
  4. Step 4: Simplify right side
    77,226.75x = 14,253,315,462.56
  5. Step 5: Solve for x
    x = 14,253,315,462.56/77,226.75
  6. Step 6: Final answer
    x = 184,564.49

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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.