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Finding the Third Proportional to 85,214.25 and 179,239.50

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Solution

The third proportional to 85,214.25 and 179,239.50 is: 377,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214.25 : 179,239.50 = 179,239.50 : x
  2. Step 2: Convert to fraction form
    85,214.25/179,239.50 = 179,239.50/x
  3. Step 3: Cross multiply
    85,214.25x = 179,239.50 × 179,239.50
  4. Step 4: Simplify right side
    85,214.25x = 32,126,798,360.25
  5. Step 5: Solve for x
    x = 32,126,798,360.25/85,214.25
  6. Step 6: Final answer
    x = 377,012.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.