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Finding the Third Proportional to 53,356 and 115,756

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Solution

The third proportional to 53,356 and 115,756 is: 251,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356 : 115,756 = 115,756 : x
  2. Step 2: Convert to fraction form
    53,356/115,756 = 115,756/x
  3. Step 3: Cross multiply
    53,356x = 115,756 × 115,756
  4. Step 4: Simplify right side
    53,356x = 13,399,451,536
  5. Step 5: Solve for x
    x = 13,399,451,536/53,356
  6. Step 6: Final answer
    x = 251,132.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.