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Finding the Third Proportional to 58.75 and 92.91

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Solution

The third proportional to 58.75 and 92.91 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.75 : 92.91 = 92.91 : x
  2. Step 2: Convert to fraction form
    58.75/92.91 = 92.91/x
  3. Step 3: Cross multiply
    58.75x = 92.91 × 92.91
  4. Step 4: Simplify right side
    58.75x = 8,631.57
  5. Step 5: Solve for x
    x = 8,631.57/58.75
  6. Step 6: Final answer
    x = 146.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.