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Finding the Third Proportional to 58.22 and 89.23

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Solution

The third proportional to 58.22 and 89.23 is: 136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 89.23 = 89.23 : x
  2. Step 2: Convert to fraction form
    58.22/89.23 = 89.23/x
  3. Step 3: Cross multiply
    58.22x = 89.23 × 89.23
  4. Step 4: Simplify right side
    58.22x = 7,961.38
  5. Step 5: Solve for x
    x = 7,961.38/58.22
  6. Step 6: Final answer
    x = 136.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.