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Finding the Third Proportional to 70,763 and 113,628

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Solution

The third proportional to 70,763 and 113,628 is: 182,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,763 : 113,628 = 113,628 : x
  2. Step 2: Convert to fraction form
    70,763/113,628 = 113,628/x
  3. Step 3: Cross multiply
    70,763x = 113,628 × 113,628
  4. Step 4: Simplify right side
    70,763x = 12,911,322,384
  5. Step 5: Solve for x
    x = 12,911,322,384/70,763
  6. Step 6: Final answer
    x = 182,458.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.