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Finding the Third Proportional to 59.06 and 118.13

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Solution

The third proportional to 59.06 and 118.13 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 118.13 = 118.13 : x
  2. Step 2: Convert to fraction form
    59.06/118.13 = 118.13/x
  3. Step 3: Cross multiply
    59.06x = 118.13 × 118.13
  4. Step 4: Simplify right side
    59.06x = 13,953.52
  5. Step 5: Solve for x
    x = 13,953.52/59.06
  6. Step 6: Final answer
    x = 236.25

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.