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Finding the Third Proportional to 119,818 and 187,943

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Solution

The third proportional to 119,818 and 187,943 is: 294,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,818 : 187,943 = 187,943 : x
  2. Step 2: Convert to fraction form
    119,818/187,943 = 187,943/x
  3. Step 3: Cross multiply
    119,818x = 187,943 × 187,943
  4. Step 4: Simplify right side
    119,818x = 35,322,571,249
  5. Step 5: Solve for x
    x = 35,322,571,249/119,818
  6. Step 6: Final answer
    x = 294,801.88

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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.