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Finding the Third Proportional to 68,679 and 141,754.50

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Solution

The third proportional to 68,679 and 141,754.50 is: 292,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,679 : 141,754.50 = 141,754.50 : x
  2. Step 2: Convert to fraction form
    68,679/141,754.50 = 141,754.50/x
  3. Step 3: Cross multiply
    68,679x = 141,754.50 × 141,754.50
  4. Step 4: Simplify right side
    68,679x = 20,094,338,270.25
  5. Step 5: Solve for x
    x = 20,094,338,270.25/68,679
  6. Step 6: Final answer
    x = 292,583.44

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.