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Finding the Third Proportional to 59.34 and 122.84

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Solution

The third proportional to 59.34 and 122.84 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.34 : 122.84 = 122.84 : x
  2. Step 2: Convert to fraction form
    59.34/122.84 = 122.84/x
  3. Step 3: Cross multiply
    59.34x = 122.84 × 122.84
  4. Step 4: Simplify right side
    59.34x = 15,088.67
  5. Step 5: Solve for x
    x = 15,088.67/59.34
  6. Step 6: Final answer
    x = 254.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.