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Finding the Third Proportional to 58.73 and 91.08

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Solution

The third proportional to 58.73 and 91.08 is: 141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.73 : 91.08 = 91.08 : x
  2. Step 2: Convert to fraction form
    58.73/91.08 = 91.08/x
  3. Step 3: Cross multiply
    58.73x = 91.08 × 91.08
  4. Step 4: Simplify right side
    58.73x = 8,295.22
  5. Step 5: Solve for x
    x = 8,295.22/58.73
  6. Step 6: Final answer
    x = 141.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.