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Finding the Third Proportional to 53,224 and 115,900

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Solution

The third proportional to 53,224 and 115,900 is: 252,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,224 : 115,900 = 115,900 : x
  2. Step 2: Convert to fraction form
    53,224/115,900 = 115,900/x
  3. Step 3: Cross multiply
    53,224x = 115,900 × 115,900
  4. Step 4: Simplify right side
    53,224x = 13,432,810,000
  5. Step 5: Solve for x
    x = 13,432,810,000/53,224
  6. Step 6: Final answer
    x = 252,382.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.