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Finding the Third Proportional to 84,227.63 and 127,346.63

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Solution

The third proportional to 84,227.63 and 127,346.63 is: 192,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,227.63 : 127,346.63 = 127,346.63 : x
  2. Step 2: Convert to fraction form
    84,227.63/127,346.63 = 127,346.63/x
  3. Step 3: Cross multiply
    84,227.63x = 127,346.63 × 127,346.63
  4. Step 4: Simplify right side
    84,227.63x = 16,217,162,898.89
  5. Step 5: Solve for x
    x = 16,217,162,898.89/84,227.63
  6. Step 6: Final answer
    x = 192,539.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.