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Finding the Third Proportional to 119,634 and 185,772

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Solution

The third proportional to 119,634 and 185,772 is: 288,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,634 : 185,772 = 185,772 : x
  2. Step 2: Convert to fraction form
    119,634/185,772 = 185,772/x
  3. Step 3: Cross multiply
    119,634x = 185,772 × 185,772
  4. Step 4: Simplify right side
    119,634x = 34,511,235,984
  5. Step 5: Solve for x
    x = 34,511,235,984/119,634
  6. Step 6: Final answer
    x = 288,473.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.