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Finding the Third Proportional to 34,228 and 73,549

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Solution

The third proportional to 34,228 and 73,549 is: 158,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228 : 73,549 = 73,549 : x
  2. Step 2: Convert to fraction form
    34,228/73,549 = 73,549/x
  3. Step 3: Cross multiply
    34,228x = 73,549 × 73,549
  4. Step 4: Simplify right side
    34,228x = 5,409,455,401
  5. Step 5: Solve for x
    x = 5,409,455,401/34,228
  6. Step 6: Final answer
    x = 158,041.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.