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Finding the Third Proportional to 68,576 and 103,053

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Solution

The third proportional to 68,576 and 103,053 is: 154,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,576 : 103,053 = 103,053 : x
  2. Step 2: Convert to fraction form
    68,576/103,053 = 103,053/x
  3. Step 3: Cross multiply
    68,576x = 103,053 × 103,053
  4. Step 4: Simplify right side
    68,576x = 10,619,920,809
  5. Step 5: Solve for x
    x = 10,619,920,809/68,576
  6. Step 6: Final answer
    x = 154,863.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.