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Finding the Third Proportional to 85,889 and 128,438

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Solution

The third proportional to 85,889 and 128,438 is: 192,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,889 : 128,438 = 128,438 : x
  2. Step 2: Convert to fraction form
    85,889/128,438 = 128,438/x
  3. Step 3: Cross multiply
    85,889x = 128,438 × 128,438
  4. Step 4: Simplify right side
    85,889x = 16,496,319,844
  5. Step 5: Solve for x
    x = 16,496,319,844/85,889
  6. Step 6: Final answer
    x = 192,065.57

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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.