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Finding the Third Proportional to 85,334 and 128,006

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Solution

The third proportional to 85,334 and 128,006 is: 192,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,334 : 128,006 = 128,006 : x
  2. Step 2: Convert to fraction form
    85,334/128,006 = 128,006/x
  3. Step 3: Cross multiply
    85,334x = 128,006 × 128,006
  4. Step 4: Simplify right side
    85,334x = 16,385,536,036
  5. Step 5: Solve for x
    x = 16,385,536,036/85,334
  6. Step 6: Final answer
    x = 192,016.50

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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.