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Finding the Third Proportional to 97,233 and 150,000

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Solution

The third proportional to 97,233 and 150,000 is: 231,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,233 : 150,000 = 150,000 : x
  2. Step 2: Convert to fraction form
    97,233/150,000 = 150,000/x
  3. Step 3: Cross multiply
    97,233x = 150,000 × 150,000
  4. Step 4: Simplify right side
    97,233x = 22,500,000,000
  5. Step 5: Solve for x
    x = 22,500,000,000/97,233
  6. Step 6: Final answer
    x = 231,402.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.