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Finding the Third Proportional to 39,750 and 84,239

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Solution

The third proportional to 39,750 and 84,239 is: 178,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750 : 84,239 = 84,239 : x
  2. Step 2: Convert to fraction form
    39,750/84,239 = 84,239/x
  3. Step 3: Cross multiply
    39,750x = 84,239 × 84,239
  4. Step 4: Simplify right side
    39,750x = 7,096,209,121
  5. Step 5: Solve for x
    x = 7,096,209,121/39,750
  6. Step 6: Final answer
    x = 178,520.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.