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Finding the Third Proportional to 58.50 and 122.88

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Solution

The third proportional to 58.50 and 122.88 is: 258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 122.88 = 122.88 : x
  2. Step 2: Convert to fraction form
    58.50/122.88 = 122.88/x
  3. Step 3: Cross multiply
    58.50x = 122.88 × 122.88
  4. Step 4: Simplify right side
    58.50x = 15,098.27
  5. Step 5: Solve for x
    x = 15,098.27/58.50
  6. Step 6: Final answer
    x = 258.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.