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Finding the Third Proportional to 98,474 and 152,771

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Solution

The third proportional to 98,474 and 152,771 is: 237,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,474 : 152,771 = 152,771 : x
  2. Step 2: Convert to fraction form
    98,474/152,771 = 152,771/x
  3. Step 3: Cross multiply
    98,474x = 152,771 × 152,771
  4. Step 4: Simplify right side
    98,474x = 23,338,978,441
  5. Step 5: Solve for x
    x = 23,338,978,441/98,474
  6. Step 6: Final answer
    x = 237,006.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.