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Finding the Third Proportional to 55,515.38 and 122,101.88

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Solution

The third proportional to 55,515.38 and 122,101.88 is: 268,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,515.38 : 122,101.88 = 122,101.88 : x
  2. Step 2: Convert to fraction form
    55,515.38/122,101.88 = 122,101.88/x
  3. Step 3: Cross multiply
    55,515.38x = 122,101.88 × 122,101.88
  4. Step 4: Simplify right side
    55,515.38x = 14,908,867,878.52
  5. Step 5: Solve for x
    x = 14,908,867,878.52/55,515.38
  6. Step 6: Final answer
    x = 268,553.85

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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.