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Finding the Third Proportional to 73,404 and 113,422

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Solution

The third proportional to 73,404 and 113,422 is: 175,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,404 : 113,422 = 113,422 : x
  2. Step 2: Convert to fraction form
    73,404/113,422 = 113,422/x
  3. Step 3: Cross multiply
    73,404x = 113,422 × 113,422
  4. Step 4: Simplify right side
    73,404x = 12,864,550,084
  5. Step 5: Solve for x
    x = 12,864,550,084/73,404
  6. Step 6: Final answer
    x = 175,256.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.