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Finding the Third Proportional to 85,141.13 and 180,658.69

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Solution

The third proportional to 85,141.13 and 180,658.69 is: 383,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,141.13 : 180,658.69 = 180,658.69 : x
  2. Step 2: Convert to fraction form
    85,141.13/180,658.69 = 180,658.69/x
  3. Step 3: Cross multiply
    85,141.13x = 180,658.69 × 180,658.69
  4. Step 4: Simplify right side
    85,141.13x = 32,637,561,369.22
  5. Step 5: Solve for x
    x = 32,637,561,369.22/85,141.13
  6. Step 6: Final answer
    x = 383,334.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.