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Finding the Third Proportional to 58.38 and 126.01

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Solution

The third proportional to 58.38 and 126.01 is: 271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.38 : 126.01 = 126.01 : x
  2. Step 2: Convert to fraction form
    58.38/126.01 = 126.01/x
  3. Step 3: Cross multiply
    58.38x = 126.01 × 126.01
  4. Step 4: Simplify right side
    58.38x = 15,878.21
  5. Step 5: Solve for x
    x = 15,878.21/58.38
  6. Step 6: Final answer
    x = 271.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.