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Finding the Third Proportional to 31,392.56 and 68,207.06

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Solution

The third proportional to 31,392.56 and 68,207.06 is: 148,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392.56 : 68,207.06 = 68,207.06 : x
  2. Step 2: Convert to fraction form
    31,392.56/68,207.06 = 68,207.06/x
  3. Step 3: Cross multiply
    31,392.56x = 68,207.06 × 68,207.06
  4. Step 4: Simplify right side
    31,392.56x = 4,652,203,374.88
  5. Step 5: Solve for x
    x = 4,652,203,374.88/31,392.56
  6. Step 6: Final answer
    x = 148,194.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.