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Finding the Third Proportional to 68,376.50 and 103,476

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Solution

The third proportional to 68,376.50 and 103,476 is: 156,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,376.50 : 103,476 = 103,476 : x
  2. Step 2: Convert to fraction form
    68,376.50/103,476 = 103,476/x
  3. Step 3: Cross multiply
    68,376.50x = 103,476 × 103,476
  4. Step 4: Simplify right side
    68,376.50x = 10,707,282,576
  5. Step 5: Solve for x
    x = 10,707,282,576/68,376.50
  6. Step 6: Final answer
    x = 156,593.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.