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Finding the Third Proportional to 119,764 and 187,875

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Solution

The third proportional to 119,764 and 187,875 is: 294,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,764 : 187,875 = 187,875 : x
  2. Step 2: Convert to fraction form
    119,764/187,875 = 187,875/x
  3. Step 3: Cross multiply
    119,764x = 187,875 × 187,875
  4. Step 4: Simplify right side
    119,764x = 35,297,015,625
  5. Step 5: Solve for x
    x = 35,297,015,625/119,764
  6. Step 6: Final answer
    x = 294,721.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.