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Finding the Third Proportional to 83,667.94 and 119,267.44

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Solution

The third proportional to 83,667.94 and 119,267.44 is: 170,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,667.94 : 119,267.44 = 119,267.44 : x
  2. Step 2: Convert to fraction form
    83,667.94/119,267.44 = 119,267.44/x
  3. Step 3: Cross multiply
    83,667.94x = 119,267.44 × 119,267.44
  4. Step 4: Simplify right side
    83,667.94x = 14,224,721,647.82
  5. Step 5: Solve for x
    x = 14,224,721,647.82/83,667.94
  6. Step 6: Final answer
    x = 170,014.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.