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Finding the Third Proportional to 58.59 and 127.22

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Solution

The third proportional to 58.59 and 127.22 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.59 : 127.22 = 127.22 : x
  2. Step 2: Convert to fraction form
    58.59/127.22 = 127.22/x
  3. Step 3: Cross multiply
    58.59x = 127.22 × 127.22
  4. Step 4: Simplify right side
    58.59x = 16,184.61
  5. Step 5: Solve for x
    x = 16,184.61/58.59
  6. Step 6: Final answer
    x = 276.22

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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.