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Finding the Third Proportional to 58.14 and 125.53

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Solution

The third proportional to 58.14 and 125.53 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.14 : 125.53 = 125.53 : x
  2. Step 2: Convert to fraction form
    58.14/125.53 = 125.53/x
  3. Step 3: Cross multiply
    58.14x = 125.53 × 125.53
  4. Step 4: Simplify right side
    58.14x = 15,758.83
  5. Step 5: Solve for x
    x = 15,758.83/58.14
  6. Step 6: Final answer
    x = 271.05

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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.