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Finding the Third Proportional to 119,147 and 185,754

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Solution

The third proportional to 119,147 and 185,754 is: 289,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,147 : 185,754 = 185,754 : x
  2. Step 2: Convert to fraction form
    119,147/185,754 = 185,754/x
  3. Step 3: Cross multiply
    119,147x = 185,754 × 185,754
  4. Step 4: Simplify right side
    119,147x = 34,504,548,516
  5. Step 5: Solve for x
    x = 34,504,548,516/119,147
  6. Step 6: Final answer
    x = 289,596.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.