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Finding the Third Proportional to 53,887 and 116,378

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Solution

The third proportional to 53,887 and 116,378 is: 251,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,887 : 116,378 = 116,378 : x
  2. Step 2: Convert to fraction form
    53,887/116,378 = 116,378/x
  3. Step 3: Cross multiply
    53,887x = 116,378 × 116,378
  4. Step 4: Simplify right side
    53,887x = 13,543,838,884
  5. Step 5: Solve for x
    x = 13,543,838,884/53,887
  6. Step 6: Final answer
    x = 251,337.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.