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Finding the Third Proportional to 72,161.25 and 113,348.25

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Solution

The third proportional to 72,161.25 and 113,348.25 is: 178,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,161.25 : 113,348.25 = 113,348.25 : x
  2. Step 2: Convert to fraction form
    72,161.25/113,348.25 = 113,348.25/x
  3. Step 3: Cross multiply
    72,161.25x = 113,348.25 × 113,348.25
  4. Step 4: Simplify right side
    72,161.25x = 12,847,825,778.06
  5. Step 5: Solve for x
    x = 12,847,825,778.06/72,161.25
  6. Step 6: Final answer
    x = 178,043.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.