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Finding the Third Proportional to 59.34 and 91.27

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Solution

The third proportional to 59.34 and 91.27 is: 140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.34 : 91.27 = 91.27 : x
  2. Step 2: Convert to fraction form
    59.34/91.27 = 91.27/x
  3. Step 3: Cross multiply
    59.34x = 91.27 × 91.27
  4. Step 4: Simplify right side
    59.34x = 8,329.41
  5. Step 5: Solve for x
    x = 8,329.41/59.34
  6. Step 6: Final answer
    x = 140.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.