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Finding the Third Proportional to 58.44 and 92.97

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Solution

The third proportional to 58.44 and 92.97 is: 147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.44 : 92.97 = 92.97 : x
  2. Step 2: Convert to fraction form
    58.44/92.97 = 92.97/x
  3. Step 3: Cross multiply
    58.44x = 92.97 × 92.97
  4. Step 4: Simplify right side
    58.44x = 8,643.19
  5. Step 5: Solve for x
    x = 8,643.19/58.44
  6. Step 6: Final answer
    x = 147.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.