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Finding the Third Proportional to 112,434 and 149,673

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Solution

The third proportional to 112,434 and 149,673 is: 199,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,434 : 149,673 = 149,673 : x
  2. Step 2: Convert to fraction form
    112,434/149,673 = 149,673/x
  3. Step 3: Cross multiply
    112,434x = 149,673 × 149,673
  4. Step 4: Simplify right side
    112,434x = 22,402,006,929
  5. Step 5: Solve for x
    x = 22,402,006,929/112,434
  6. Step 6: Final answer
    x = 199,245.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.