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Finding the Third Proportional to 31,600.13 and 68,212.13

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Solution

The third proportional to 31,600.13 and 68,212.13 is: 147,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.13 : 68,212.13 = 68,212.13 : x
  2. Step 2: Convert to fraction form
    31,600.13/68,212.13 = 68,212.13/x
  3. Step 3: Cross multiply
    31,600.13x = 68,212.13 × 68,212.13
  4. Step 4: Simplify right side
    31,600.13x = 4,652,893,997.02
  5. Step 5: Solve for x
    x = 4,652,893,997.02/31,600.13
  6. Step 6: Final answer
    x = 147,242.90

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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.