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Finding the Third Proportional to 69,072 and 103,272

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Solution

The third proportional to 69,072 and 103,272 is: 154,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,072 : 103,272 = 103,272 : x
  2. Step 2: Convert to fraction form
    69,072/103,272 = 103,272/x
  3. Step 3: Cross multiply
    69,072x = 103,272 × 103,272
  4. Step 4: Simplify right side
    69,072x = 10,665,105,984
  5. Step 5: Solve for x
    x = 10,665,105,984/69,072
  6. Step 6: Final answer
    x = 154,405.63

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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.