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Finding the Third Proportional to 53,900 and 113,385

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Solution

The third proportional to 53,900 and 113,385 is: 238,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,900 : 113,385 = 113,385 : x
  2. Step 2: Convert to fraction form
    53,900/113,385 = 113,385/x
  3. Step 3: Cross multiply
    53,900x = 113,385 × 113,385
  4. Step 4: Simplify right side
    53,900x = 12,856,158,225
  5. Step 5: Solve for x
    x = 12,856,158,225/53,900
  6. Step 6: Final answer
    x = 238,518.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.