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Finding the Third Proportional to 59 and 89.13

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Solution

The third proportional to 59 and 89.13 is: 134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59 : 89.13 = 89.13 : x
  2. Step 2: Convert to fraction form
    59/89.13 = 89.13/x
  3. Step 3: Cross multiply
    59x = 89.13 × 89.13
  4. Step 4: Simplify right side
    59x = 7,943.27
  5. Step 5: Solve for x
    x = 7,943.27/59
  6. Step 6: Final answer
    x = 134.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.