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Finding the Third Proportional to 112,768.61 and 149,059.85

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Solution

The third proportional to 112,768.61 and 149,059.85 is: 197,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,768.61 : 149,059.85 = 149,059.85 : x
  2. Step 2: Convert to fraction form
    112,768.61/149,059.85 = 149,059.85/x
  3. Step 3: Cross multiply
    112,768.61x = 149,059.85 × 149,059.85
  4. Step 4: Simplify right side
    112,768.61x = 22,218,840,221.23
  5. Step 5: Solve for x
    x = 22,218,840,221.23/112,768.61
  6. Step 6: Final answer
    x = 197,030.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.