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Finding the Third Proportional to 58.13 and 126.28

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Solution

The third proportional to 58.13 and 126.28 is: 274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.13 : 126.28 = 126.28 : x
  2. Step 2: Convert to fraction form
    58.13/126.28 = 126.28/x
  3. Step 3: Cross multiply
    58.13x = 126.28 × 126.28
  4. Step 4: Simplify right side
    58.13x = 15,946.95
  5. Step 5: Solve for x
    x = 15,946.95/58.13
  6. Step 6: Final answer
    x = 274.36

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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.