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Finding the Third Proportional to 52,896 and 85,048

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Solution

The third proportional to 52,896 and 85,048 is: 136,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,896 : 85,048 = 85,048 : x
  2. Step 2: Convert to fraction form
    52,896/85,048 = 85,048/x
  3. Step 3: Cross multiply
    52,896x = 85,048 × 85,048
  4. Step 4: Simplify right side
    52,896x = 7,233,162,304
  5. Step 5: Solve for x
    x = 7,233,162,304/52,896
  6. Step 6: Final answer
    x = 136,743.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.