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Finding the Third Proportional to 53,356 and 116,107

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Solution

The third proportional to 53,356 and 116,107 is: 252,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356 : 116,107 = 116,107 : x
  2. Step 2: Convert to fraction form
    53,356/116,107 = 116,107/x
  3. Step 3: Cross multiply
    53,356x = 116,107 × 116,107
  4. Step 4: Simplify right side
    53,356x = 13,480,835,449
  5. Step 5: Solve for x
    x = 13,480,835,449/53,356
  6. Step 6: Final answer
    x = 252,658.28

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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.