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Finding the Third Proportional to 53,742 and 113,889

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Solution

The third proportional to 53,742 and 113,889 is: 241,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742 : 113,889 = 113,889 : x
  2. Step 2: Convert to fraction form
    53,742/113,889 = 113,889/x
  3. Step 3: Cross multiply
    53,742x = 113,889 × 113,889
  4. Step 4: Simplify right side
    53,742x = 12,970,704,321
  5. Step 5: Solve for x
    x = 12,970,704,321/53,742
  6. Step 6: Final answer
    x = 241,351.35

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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.