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Finding the Third Proportional to 52,876 and 114,463

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Solution

The third proportional to 52,876 and 114,463 is: 247,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876 : 114,463 = 114,463 : x
  2. Step 2: Convert to fraction form
    52,876/114,463 = 114,463/x
  3. Step 3: Cross multiply
    52,876x = 114,463 × 114,463
  4. Step 4: Simplify right side
    52,876x = 13,101,778,369
  5. Step 5: Solve for x
    x = 13,101,778,369/52,876
  6. Step 6: Final answer
    x = 247,783.08

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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.