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Finding the Third Proportional to 58.85 and 129.09

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Solution

The third proportional to 58.85 and 129.09 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.85 : 129.09 = 129.09 : x
  2. Step 2: Convert to fraction form
    58.85/129.09 = 129.09/x
  3. Step 3: Cross multiply
    58.85x = 129.09 × 129.09
  4. Step 4: Simplify right side
    58.85x = 16,665.20
  5. Step 5: Solve for x
    x = 16,665.20/58.85
  6. Step 6: Final answer
    x = 283.17

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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.