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Finding the Third Proportional to 85,352 and 133,896

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Solution

The third proportional to 85,352 and 133,896 is: 210,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352 : 133,896 = 133,896 : x
  2. Step 2: Convert to fraction form
    85,352/133,896 = 133,896/x
  3. Step 3: Cross multiply
    85,352x = 133,896 × 133,896
  4. Step 4: Simplify right side
    85,352x = 17,928,138,816
  5. Step 5: Solve for x
    x = 17,928,138,816/85,352
  6. Step 6: Final answer
    x = 210,049.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.