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Finding the Third Proportional to 54,848.39 and 81,913.78

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Solution

The third proportional to 54,848.39 and 81,913.78 is: 122,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,848.39 : 81,913.78 = 81,913.78 : x
  2. Step 2: Convert to fraction form
    54,848.39/81,913.78 = 81,913.78/x
  3. Step 3: Cross multiply
    54,848.39x = 81,913.78 × 81,913.78
  4. Step 4: Simplify right side
    54,848.39x = 6,709,867,558.67
  5. Step 5: Solve for x
    x = 6,709,867,558.67/54,848.39
  6. Step 6: Final answer
    x = 122,334.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.