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Finding the Third Proportional to 55,507.92 and 122,087.53

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Solution

The third proportional to 55,507.92 and 122,087.53 is: 268,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,507.92 : 122,087.53 = 122,087.53 : x
  2. Step 2: Convert to fraction form
    55,507.92/122,087.53 = 122,087.53/x
  3. Step 3: Cross multiply
    55,507.92x = 122,087.53 × 122,087.53
  4. Step 4: Simplify right side
    55,507.92x = 14,905,365,286.72
  5. Step 5: Solve for x
    x = 14,905,365,286.72/55,507.92
  6. Step 6: Final answer
    x = 268,526.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.