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Finding the Third Proportional to 119,826 and 187,965

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Solution

The third proportional to 119,826 and 187,965 is: 294,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,826 : 187,965 = 187,965 : x
  2. Step 2: Convert to fraction form
    119,826/187,965 = 187,965/x
  3. Step 3: Cross multiply
    119,826x = 187,965 × 187,965
  4. Step 4: Simplify right side
    119,826x = 35,330,841,225
  5. Step 5: Solve for x
    x = 35,330,841,225/119,826
  6. Step 6: Final answer
    x = 294,851.21

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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.