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Finding the Third Proportional to 99,072 and 150,500

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Solution

The third proportional to 99,072 and 150,500 is: 228,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 150,500 = 150,500 : x
  2. Step 2: Convert to fraction form
    99,072/150,500 = 150,500/x
  3. Step 3: Cross multiply
    99,072x = 150,500 × 150,500
  4. Step 4: Simplify right side
    99,072x = 22,650,250,000
  5. Step 5: Solve for x
    x = 22,650,250,000/99,072
  6. Step 6: Final answer
    x = 228,624.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.