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Finding the Third Proportional to 58.01 and 119.81

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Solution

The third proportional to 58.01 and 119.81 is: 247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.01 : 119.81 = 119.81 : x
  2. Step 2: Convert to fraction form
    58.01/119.81 = 119.81/x
  3. Step 3: Cross multiply
    58.01x = 119.81 × 119.81
  4. Step 4: Simplify right side
    58.01x = 14,355.04
  5. Step 5: Solve for x
    x = 14,355.04/58.01
  6. Step 6: Final answer
    x = 247.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.