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Finding the Third Proportional to 53,277 and 118,378

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Solution

The third proportional to 53,277 and 118,378 is: 263,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,277 : 118,378 = 118,378 : x
  2. Step 2: Convert to fraction form
    53,277/118,378 = 118,378/x
  3. Step 3: Cross multiply
    53,277x = 118,378 × 118,378
  4. Step 4: Simplify right side
    53,277x = 14,013,350,884
  5. Step 5: Solve for x
    x = 14,013,350,884/53,277
  6. Step 6: Final answer
    x = 263,028.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.