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Finding the Third Proportional to 58.97 and 126.66

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Solution

The third proportional to 58.97 and 126.66 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.97 : 126.66 = 126.66 : x
  2. Step 2: Convert to fraction form
    58.97/126.66 = 126.66/x
  3. Step 3: Cross multiply
    58.97x = 126.66 × 126.66
  4. Step 4: Simplify right side
    58.97x = 16,041.81
  5. Step 5: Solve for x
    x = 16,041.81/58.97
  6. Step 6: Final answer
    x = 272.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.