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Finding the Third Proportional to 58.89 and 114.92

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Solution

The third proportional to 58.89 and 114.92 is: 224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.89 : 114.92 = 114.92 : x
  2. Step 2: Convert to fraction form
    58.89/114.92 = 114.92/x
  3. Step 3: Cross multiply
    58.89x = 114.92 × 114.92
  4. Step 4: Simplify right side
    58.89x = 13,207.04
  5. Step 5: Solve for x
    x = 13,207.04/58.89
  6. Step 6: Final answer
    x = 224.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.