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Finding the Third Proportional to 57 and 148.13

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Solution

The third proportional to 57 and 148.13 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 148.13 = 148.13 : x
  2. Step 2: Convert to fraction form
    57/148.13 = 148.13/x
  3. Step 3: Cross multiply
    57x = 148.13 × 148.13
  4. Step 4: Simplify right side
    57x = 21,941.02
  5. Step 5: Solve for x
    x = 21,941.02/57
  6. Step 6: Final answer
    x = 384.93

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.