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Finding the Third Proportional to 85,891.50 and 128,442

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Solution

The third proportional to 85,891.50 and 128,442 is: 192,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,891.50 : 128,442 = 128,442 : x
  2. Step 2: Convert to fraction form
    85,891.50/128,442 = 128,442/x
  3. Step 3: Cross multiply
    85,891.50x = 128,442 × 128,442
  4. Step 4: Simplify right side
    85,891.50x = 16,497,347,364
  5. Step 5: Solve for x
    x = 16,497,347,364/85,891.50
  6. Step 6: Final answer
    x = 192,071.94

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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.