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Finding the Third Proportional to 52,424 and 113,152

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Solution

The third proportional to 52,424 and 113,152 is: 244,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424 : 113,152 = 113,152 : x
  2. Step 2: Convert to fraction form
    52,424/113,152 = 113,152/x
  3. Step 3: Cross multiply
    52,424x = 113,152 × 113,152
  4. Step 4: Simplify right side
    52,424x = 12,803,375,104
  5. Step 5: Solve for x
    x = 12,803,375,104/52,424
  6. Step 6: Final answer
    x = 244,227.36

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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.