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Finding the Third Proportional to 59.48 and 123.12

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Solution

The third proportional to 59.48 and 123.12 is: 254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.48 : 123.12 = 123.12 : x
  2. Step 2: Convert to fraction form
    59.48/123.12 = 123.12/x
  3. Step 3: Cross multiply
    59.48x = 123.12 × 123.12
  4. Step 4: Simplify right side
    59.48x = 15,157.84
  5. Step 5: Solve for x
    x = 15,157.84/59.48
  6. Step 6: Final answer
    x = 254.82

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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.