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Finding the Third Proportional to 59.25 and 85.17

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Solution

The third proportional to 59.25 and 85.17 is: 122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.25 : 85.17 = 85.17 : x
  2. Step 2: Convert to fraction form
    59.25/85.17 = 85.17/x
  3. Step 3: Cross multiply
    59.25x = 85.17 × 85.17
  4. Step 4: Simplify right side
    59.25x = 7,254.07
  5. Step 5: Solve for x
    x = 7,254.07/59.25
  6. Step 6: Final answer
    x = 122.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.