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Finding the Third Proportional to 59.91 and 131.20

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Solution

The third proportional to 59.91 and 131.20 is: 287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.91 : 131.20 = 131.20 : x
  2. Step 2: Convert to fraction form
    59.91/131.20 = 131.20/x
  3. Step 3: Cross multiply
    59.91x = 131.20 × 131.20
  4. Step 4: Simplify right side
    59.91x = 17,214.26
  5. Step 5: Solve for x
    x = 17,214.26/59.91
  6. Step 6: Final answer
    x = 287.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.