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Finding the Third Proportional to 58.62 and 114.24

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Solution

The third proportional to 58.62 and 114.24 is: 222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.62 : 114.24 = 114.24 : x
  2. Step 2: Convert to fraction form
    58.62/114.24 = 114.24/x
  3. Step 3: Cross multiply
    58.62x = 114.24 × 114.24
  4. Step 4: Simplify right side
    58.62x = 13,050.83
  5. Step 5: Solve for x
    x = 13,050.83/58.62
  6. Step 6: Final answer
    x = 222.62

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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.