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Finding the Third Proportional to 53,764.88 and 116,961.19

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Solution

The third proportional to 53,764.88 and 116,961.19 is: 254,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,764.88 : 116,961.19 = 116,961.19 : x
  2. Step 2: Convert to fraction form
    53,764.88/116,961.19 = 116,961.19/x
  3. Step 3: Cross multiply
    53,764.88x = 116,961.19 × 116,961.19
  4. Step 4: Simplify right side
    53,764.88x = 13,679,919,381.41
  5. Step 5: Solve for x
    x = 13,679,919,381.41/53,764.88
  6. Step 6: Final answer
    x = 254,439.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.