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Finding the Third Proportional to 71,929 and 154,262

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Solution

The third proportional to 71,929 and 154,262 is: 330,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,929 : 154,262 = 154,262 : x
  2. Step 2: Convert to fraction form
    71,929/154,262 = 154,262/x
  3. Step 3: Cross multiply
    71,929x = 154,262 × 154,262
  4. Step 4: Simplify right side
    71,929x = 23,796,764,644
  5. Step 5: Solve for x
    x = 23,796,764,644/71,929
  6. Step 6: Final answer
    x = 330,836.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.