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Finding the Third Proportional to 53,438 and 114,027

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Solution

The third proportional to 53,438 and 114,027 is: 243,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,438 : 114,027 = 114,027 : x
  2. Step 2: Convert to fraction form
    53,438/114,027 = 114,027/x
  3. Step 3: Cross multiply
    53,438x = 114,027 × 114,027
  4. Step 4: Simplify right side
    53,438x = 13,002,156,729
  5. Step 5: Solve for x
    x = 13,002,156,729/53,438
  6. Step 6: Final answer
    x = 243,312.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.