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Finding the Third Proportional to 31,164.75 and 64,167.19

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Solution

The third proportional to 31,164.75 and 64,167.19 is: 132,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.75 : 64,167.19 = 64,167.19 : x
  2. Step 2: Convert to fraction form
    31,164.75/64,167.19 = 64,167.19/x
  3. Step 3: Cross multiply
    31,164.75x = 64,167.19 × 64,167.19
  4. Step 4: Simplify right side
    31,164.75x = 4,117,427,951.66
  5. Step 5: Solve for x
    x = 4,117,427,951.66/31,164.75
  6. Step 6: Final answer
    x = 132,118.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.