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Finding the Third Proportional to 53,343 and 116,727

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Solution

The third proportional to 53,343 and 116,727 is: 255,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,343 : 116,727 = 116,727 : x
  2. Step 2: Convert to fraction form
    53,343/116,727 = 116,727/x
  3. Step 3: Cross multiply
    53,343x = 116,727 × 116,727
  4. Step 4: Simplify right side
    53,343x = 13,625,192,529
  5. Step 5: Solve for x
    x = 13,625,192,529/53,343
  6. Step 6: Final answer
    x = 255,426.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.