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Finding the Third Proportional to 54,442.13 and 119,726.86

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Solution

The third proportional to 54,442.13 and 119,726.86 is: 263,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,442.13 : 119,726.86 = 119,726.86 : x
  2. Step 2: Convert to fraction form
    54,442.13/119,726.86 = 119,726.86/x
  3. Step 3: Cross multiply
    54,442.13x = 119,726.86 × 119,726.86
  4. Step 4: Simplify right side
    54,442.13x = 14,334,520,855.80
  5. Step 5: Solve for x
    x = 14,334,520,855.80/54,442.13
  6. Step 6: Final answer
    x = 263,298.33

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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.