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Finding the Third Proportional to 58.01 and 126.14

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Solution

The third proportional to 58.01 and 126.14 is: 274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.01 : 126.14 = 126.14 : x
  2. Step 2: Convert to fraction form
    58.01/126.14 = 126.14/x
  3. Step 3: Cross multiply
    58.01x = 126.14 × 126.14
  4. Step 4: Simplify right side
    58.01x = 15,911.46
  5. Step 5: Solve for x
    x = 15,911.46/58.01
  6. Step 6: Final answer
    x = 274.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.