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Finding the Third Proportional to 71,949 and 154,470

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Solution

The third proportional to 71,949 and 154,470 is: 331,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,949 : 154,470 = 154,470 : x
  2. Step 2: Convert to fraction form
    71,949/154,470 = 154,470/x
  3. Step 3: Cross multiply
    71,949x = 154,470 × 154,470
  4. Step 4: Simplify right side
    71,949x = 23,860,980,900
  5. Step 5: Solve for x
    x = 23,860,980,900/71,949
  6. Step 6: Final answer
    x = 331,637.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.