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Finding the Third Proportional to 68,261 and 141,972

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Solution

The third proportional to 68,261 and 141,972 is: 295,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,261 : 141,972 = 141,972 : x
  2. Step 2: Convert to fraction form
    68,261/141,972 = 141,972/x
  3. Step 3: Cross multiply
    68,261x = 141,972 × 141,972
  4. Step 4: Simplify right side
    68,261x = 20,156,048,784
  5. Step 5: Solve for x
    x = 20,156,048,784/68,261
  6. Step 6: Final answer
    x = 295,279.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.