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Finding the Third Proportional to 58.78 and 128.81

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Solution

The third proportional to 58.78 and 128.81 is: 282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 128.81 = 128.81 : x
  2. Step 2: Convert to fraction form
    58.78/128.81 = 128.81/x
  3. Step 3: Cross multiply
    58.78x = 128.81 × 128.81
  4. Step 4: Simplify right side
    58.78x = 16,592.66
  5. Step 5: Solve for x
    x = 16,592.66/58.78
  6. Step 6: Final answer
    x = 282.28

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