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Finding the Third Proportional to 53,204 and 114,248

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Solution

The third proportional to 53,204 and 114,248 is: 245,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204 : 114,248 = 114,248 : x
  2. Step 2: Convert to fraction form
    53,204/114,248 = 114,248/x
  3. Step 3: Cross multiply
    53,204x = 114,248 × 114,248
  4. Step 4: Simplify right side
    53,204x = 13,052,605,504
  5. Step 5: Solve for x
    x = 13,052,605,504/53,204
  6. Step 6: Final answer
    x = 245,331.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.