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Finding the Third Proportional to 55.19 and 117.88

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Solution

The third proportional to 55.19 and 117.88 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.19 : 117.88 = 117.88 : x
  2. Step 2: Convert to fraction form
    55.19/117.88 = 117.88/x
  3. Step 3: Cross multiply
    55.19x = 117.88 × 117.88
  4. Step 4: Simplify right side
    55.19x = 13,894.52
  5. Step 5: Solve for x
    x = 13,894.52/55.19
  6. Step 6: Final answer
    x = 251.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.