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Finding the Third Proportional to 73,486 and 110,328

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Solution

The third proportional to 73,486 and 110,328 is: 165,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,486 : 110,328 = 110,328 : x
  2. Step 2: Convert to fraction form
    73,486/110,328 = 110,328/x
  3. Step 3: Cross multiply
    73,486x = 110,328 × 110,328
  4. Step 4: Simplify right side
    73,486x = 12,172,267,584
  5. Step 5: Solve for x
    x = 12,172,267,584/73,486
  6. Step 6: Final answer
    x = 165,640.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.