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Finding the Third Proportional to 53,462 and 113,458

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Solution

The third proportional to 53,462 and 113,458 is: 240,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462 : 113,458 = 113,458 : x
  2. Step 2: Convert to fraction form
    53,462/113,458 = 113,458/x
  3. Step 3: Cross multiply
    53,462x = 113,458 × 113,458
  4. Step 4: Simplify right side
    53,462x = 12,872,717,764
  5. Step 5: Solve for x
    x = 12,872,717,764/53,462
  6. Step 6: Final answer
    x = 240,782.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.