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Finding the Third Proportional to 138 and 292.13

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Solution

The third proportional to 138 and 292.13 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 292.13 = 292.13 : x
  2. Step 2: Convert to fraction form
    138/292.13 = 292.13/x
  3. Step 3: Cross multiply
    138x = 292.13 × 292.13
  4. Step 4: Simplify right side
    138x = 85,337.02
  5. Step 5: Solve for x
    x = 85,337.02/138
  6. Step 6: Final answer
    x = 618.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.