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Finding the Third Proportional to 53,900 and 116,800

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Solution

The third proportional to 53,900 and 116,800 is: 253,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,900 : 116,800 = 116,800 : x
  2. Step 2: Convert to fraction form
    53,900/116,800 = 116,800/x
  3. Step 3: Cross multiply
    53,900x = 116,800 × 116,800
  4. Step 4: Simplify right side
    53,900x = 13,642,240,000
  5. Step 5: Solve for x
    x = 13,642,240,000/53,900
  6. Step 6: Final answer
    x = 253,102.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.