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Finding the Third Proportional to 45,124 and 99,000

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Solution

The third proportional to 45,124 and 99,000 is: 217,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,124 : 99,000 = 99,000 : x
  2. Step 2: Convert to fraction form
    45,124/99,000 = 99,000/x
  3. Step 3: Cross multiply
    45,124x = 99,000 × 99,000
  4. Step 4: Simplify right side
    45,124x = 9,801,000,000
  5. Step 5: Solve for x
    x = 9,801,000,000/45,124
  6. Step 6: Final answer
    x = 217,201.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.