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Finding the Third Proportional to 53.79 and 116.12

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Solution

The third proportional to 53.79 and 116.12 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.79 : 116.12 = 116.12 : x
  2. Step 2: Convert to fraction form
    53.79/116.12 = 116.12/x
  3. Step 3: Cross multiply
    53.79x = 116.12 × 116.12
  4. Step 4: Simplify right side
    53.79x = 13,484.11
  5. Step 5: Solve for x
    x = 13,484.11/53.79
  6. Step 6: Final answer
    x = 250.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.