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Finding the Third Proportional to 73,635.75 and 113,348.25

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Solution

The third proportional to 73,635.75 and 113,348.25 is: 174,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,635.75 : 113,348.25 = 113,348.25 : x
  2. Step 2: Convert to fraction form
    73,635.75/113,348.25 = 113,348.25/x
  3. Step 3: Cross multiply
    73,635.75x = 113,348.25 × 113,348.25
  4. Step 4: Simplify right side
    73,635.75x = 12,847,825,778.06
  5. Step 5: Solve for x
    x = 12,847,825,778.06/73,635.75
  6. Step 6: Final answer
    x = 174,478.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.