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Finding the Third Proportional to 53.79 and 117.98

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Solution

The third proportional to 53.79 and 117.98 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.79 : 117.98 = 117.98 : x
  2. Step 2: Convert to fraction form
    53.79/117.98 = 117.98/x
  3. Step 3: Cross multiply
    53.79x = 117.98 × 117.98
  4. Step 4: Simplify right side
    53.79x = 13,920.31
  5. Step 5: Solve for x
    x = 13,920.31/53.79
  6. Step 6: Final answer
    x = 258.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.