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Finding the Third Proportional to 58.73 and 127.08

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Solution

The third proportional to 58.73 and 127.08 is: 274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.73 : 127.08 = 127.08 : x
  2. Step 2: Convert to fraction form
    58.73/127.08 = 127.08/x
  3. Step 3: Cross multiply
    58.73x = 127.08 × 127.08
  4. Step 4: Simplify right side
    58.73x = 16,148.48
  5. Step 5: Solve for x
    x = 16,148.48/58.73
  6. Step 6: Final answer
    x = 274.95

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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.