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Finding the Third Proportional to 58.85 and 138.59

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Solution

The third proportional to 58.85 and 138.59 is: 326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.85 : 138.59 = 138.59 : x
  2. Step 2: Convert to fraction form
    58.85/138.59 = 138.59/x
  3. Step 3: Cross multiply
    58.85x = 138.59 × 138.59
  4. Step 4: Simplify right side
    58.85x = 19,206.06
  5. Step 5: Solve for x
    x = 19,206.06/58.85
  6. Step 6: Final answer
    x = 326.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.