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Finding the Third Proportional to 74,997 and 116,277

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Solution

The third proportional to 74,997 and 116,277 is: 180,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,997 : 116,277 = 116,277 : x
  2. Step 2: Convert to fraction form
    74,997/116,277 = 116,277/x
  3. Step 3: Cross multiply
    74,997x = 116,277 × 116,277
  4. Step 4: Simplify right side
    74,997x = 13,520,340,729
  5. Step 5: Solve for x
    x = 13,520,340,729/74,997
  6. Step 6: Final answer
    x = 180,278.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.