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Finding the Third Proportional to 85,383.84 and 127,382.91

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Solution

The third proportional to 85,383.84 and 127,382.91 is: 190,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,383.84 : 127,382.91 = 127,382.91 : x
  2. Step 2: Convert to fraction form
    85,383.84/127,382.91 = 127,382.91/x
  3. Step 3: Cross multiply
    85,383.84x = 127,382.91 × 127,382.91
  4. Step 4: Simplify right side
    85,383.84x = 16,226,404,804.70
  5. Step 5: Solve for x
    x = 16,226,404,804.70/85,383.84
  6. Step 6: Final answer
    x = 190,040.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.