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Finding the Third Proportional to 84,715.88 and 127,083.94

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Solution

The third proportional to 84,715.88 and 127,083.94 is: 190,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,715.88 : 127,083.94 = 127,083.94 : x
  2. Step 2: Convert to fraction form
    84,715.88/127,083.94 = 127,083.94/x
  3. Step 3: Cross multiply
    84,715.88x = 127,083.94 × 127,083.94
  4. Step 4: Simplify right side
    84,715.88x = 16,150,327,170.50
  5. Step 5: Solve for x
    x = 16,150,327,170.50/84,715.88
  6. Step 6: Final answer
    x = 190,641.09

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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.