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Finding the Third Proportional to 69,692 and 151,552

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Solution

The third proportional to 69,692 and 151,552 is: 329,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,692 : 151,552 = 151,552 : x
  2. Step 2: Convert to fraction form
    69,692/151,552 = 151,552/x
  3. Step 3: Cross multiply
    69,692x = 151,552 × 151,552
  4. Step 4: Simplify right side
    69,692x = 22,968,008,704
  5. Step 5: Solve for x
    x = 22,968,008,704/69,692
  6. Step 6: Final answer
    x = 329,564.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.