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Finding the Third Proportional to 54,262 and 116,702

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Solution

The third proportional to 54,262 and 116,702 is: 250,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,262 : 116,702 = 116,702 : x
  2. Step 2: Convert to fraction form
    54,262/116,702 = 116,702/x
  3. Step 3: Cross multiply
    54,262x = 116,702 × 116,702
  4. Step 4: Simplify right side
    54,262x = 13,619,356,804
  5. Step 5: Solve for x
    x = 13,619,356,804/54,262
  6. Step 6: Final answer
    x = 250,992.53

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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.