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Finding the Third Proportional to 53,686 and 114,302

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Solution

The third proportional to 53,686 and 114,302 is: 243,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686 : 114,302 = 114,302 : x
  2. Step 2: Convert to fraction form
    53,686/114,302 = 114,302/x
  3. Step 3: Cross multiply
    53,686x = 114,302 × 114,302
  4. Step 4: Simplify right side
    53,686x = 13,064,947,204
  5. Step 5: Solve for x
    x = 13,064,947,204/53,686
  6. Step 6: Final answer
    x = 243,358.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.