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Finding the Third Proportional to 68,376 and 143,662.50

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Solution

The third proportional to 68,376 and 143,662.50 is: 301,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,376 : 143,662.50 = 143,662.50 : x
  2. Step 2: Convert to fraction form
    68,376/143,662.50 = 143,662.50/x
  3. Step 3: Cross multiply
    68,376x = 143,662.50 × 143,662.50
  4. Step 4: Simplify right side
    68,376x = 20,638,913,906.25
  5. Step 5: Solve for x
    x = 20,638,913,906.25/68,376
  6. Step 6: Final answer
    x = 301,844.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.