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Finding the Third Proportional to 53,032 and 114,366

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Solution

The third proportional to 53,032 and 114,366 is: 246,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,032 : 114,366 = 114,366 : x
  2. Step 2: Convert to fraction form
    53,032/114,366 = 114,366/x
  3. Step 3: Cross multiply
    53,032x = 114,366 × 114,366
  4. Step 4: Simplify right side
    53,032x = 13,079,581,956
  5. Step 5: Solve for x
    x = 13,079,581,956/53,032
  6. Step 6: Final answer
    x = 246,635.65

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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.