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Finding the Third Proportional to 69,076.50 and 103,871

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Solution

The third proportional to 69,076.50 and 103,871 is: 156,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076.50 : 103,871 = 103,871 : x
  2. Step 2: Convert to fraction form
    69,076.50/103,871 = 103,871/x
  3. Step 3: Cross multiply
    69,076.50x = 103,871 × 103,871
  4. Step 4: Simplify right side
    69,076.50x = 10,789,184,641
  5. Step 5: Solve for x
    x = 10,789,184,641/69,076.50
  6. Step 6: Final answer
    x = 156,191.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.