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Finding the Third Proportional to 71,746 and 146,412

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Solution

The third proportional to 71,746 and 146,412 is: 298,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,746 : 146,412 = 146,412 : x
  2. Step 2: Convert to fraction form
    71,746/146,412 = 146,412/x
  3. Step 3: Cross multiply
    71,746x = 146,412 × 146,412
  4. Step 4: Simplify right side
    71,746x = 21,436,473,744
  5. Step 5: Solve for x
    x = 21,436,473,744/71,746
  6. Step 6: Final answer
    x = 298,782.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.