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Finding the Third Proportional to 54,919.13 and 114,211.69

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Solution

The third proportional to 54,919.13 and 114,211.69 is: 237,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,919.13 : 114,211.69 = 114,211.69 : x
  2. Step 2: Convert to fraction form
    54,919.13/114,211.69 = 114,211.69/x
  3. Step 3: Cross multiply
    54,919.13x = 114,211.69 × 114,211.69
  4. Step 4: Simplify right side
    54,919.13x = 13,044,309,561.60
  5. Step 5: Solve for x
    x = 13,044,309,561.60/54,919.13
  6. Step 6: Final answer
    x = 237,518.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.