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Finding the Third Proportional to 58.13 and 141.19

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Solution

The third proportional to 58.13 and 141.19 is: 342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.13 : 141.19 = 141.19 : x
  2. Step 2: Convert to fraction form
    58.13/141.19 = 141.19/x
  3. Step 3: Cross multiply
    58.13x = 141.19 × 141.19
  4. Step 4: Simplify right side
    58.13x = 19,933.91
  5. Step 5: Solve for x
    x = 19,933.91/58.13
  6. Step 6: Final answer
    x = 342.95

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.