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Finding the Third Proportional to 54,349.88 and 117,746.81

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Solution

The third proportional to 54,349.88 and 117,746.81 is: 255,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,349.88 : 117,746.81 = 117,746.81 : x
  2. Step 2: Convert to fraction form
    54,349.88/117,746.81 = 117,746.81/x
  3. Step 3: Cross multiply
    54,349.88x = 117,746.81 × 117,746.81
  4. Step 4: Simplify right side
    54,349.88x = 13,864,311,853.91
  5. Step 5: Solve for x
    x = 13,864,311,853.91/54,349.88
  6. Step 6: Final answer
    x = 255,093.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.