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Finding the Third Proportional to 58.22 and 125.30

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Solution

The third proportional to 58.22 and 125.30 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 125.30 = 125.30 : x
  2. Step 2: Convert to fraction form
    58.22/125.30 = 125.30/x
  3. Step 3: Cross multiply
    58.22x = 125.30 × 125.30
  4. Step 4: Simplify right side
    58.22x = 15,699.31
  5. Step 5: Solve for x
    x = 15,699.31/58.22
  6. Step 6: Final answer
    x = 269.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.