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Finding the Third Proportional to 58.59 and 128.91

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Solution

The third proportional to 58.59 and 128.91 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.59 : 128.91 = 128.91 : x
  2. Step 2: Convert to fraction form
    58.59/128.91 = 128.91/x
  3. Step 3: Cross multiply
    58.59x = 128.91 × 128.91
  4. Step 4: Simplify right side
    58.59x = 16,616.82
  5. Step 5: Solve for x
    x = 16,616.82/58.59
  6. Step 6: Final answer
    x = 283.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.