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Finding the Third Proportional to 52,398.14 and 113,096.25

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Solution

The third proportional to 52,398.14 and 113,096.25 is: 244,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,398.14 : 113,096.25 = 113,096.25 : x
  2. Step 2: Convert to fraction form
    52,398.14/113,096.25 = 113,096.25/x
  3. Step 3: Cross multiply
    52,398.14x = 113,096.25 × 113,096.25
  4. Step 4: Simplify right side
    52,398.14x = 12,790,761,764.06
  5. Step 5: Solve for x
    x = 12,790,761,764.06/52,398.14
  6. Step 6: Final answer
    x = 244,107.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.