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Finding the Third Proportional to 55,741.50 and 122,060.25

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Solution

The third proportional to 55,741.50 and 122,060.25 is: 267,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,741.50 : 122,060.25 = 122,060.25 : x
  2. Step 2: Convert to fraction form
    55,741.50/122,060.25 = 122,060.25/x
  3. Step 3: Cross multiply
    55,741.50x = 122,060.25 × 122,060.25
  4. Step 4: Simplify right side
    55,741.50x = 14,898,704,630.06
  5. Step 5: Solve for x
    x = 14,898,704,630.06/55,741.50
  6. Step 6: Final answer
    x = 267,282.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.