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Finding the Third Proportional to 58.06 and 127.53

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Solution

The third proportional to 58.06 and 127.53 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.06 : 127.53 = 127.53 : x
  2. Step 2: Convert to fraction form
    58.06/127.53 = 127.53/x
  3. Step 3: Cross multiply
    58.06x = 127.53 × 127.53
  4. Step 4: Simplify right side
    58.06x = 16,264.22
  5. Step 5: Solve for x
    x = 16,264.22/58.06
  6. Step 6: Final answer
    x = 280.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.