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Finding the Third Proportional to 64,156 and 140,705

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Solution

The third proportional to 64,156 and 140,705 is: 308,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,156 : 140,705 = 140,705 : x
  2. Step 2: Convert to fraction form
    64,156/140,705 = 140,705/x
  3. Step 3: Cross multiply
    64,156x = 140,705 × 140,705
  4. Step 4: Simplify right side
    64,156x = 19,797,897,025
  5. Step 5: Solve for x
    x = 19,797,897,025/64,156
  6. Step 6: Final answer
    x = 308,589.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.