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Finding the Third Proportional to 85,229 and 183,539.50

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Solution

The third proportional to 85,229 and 183,539.50 is: 395,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,229 : 183,539.50 = 183,539.50 : x
  2. Step 2: Convert to fraction form
    85,229/183,539.50 = 183,539.50/x
  3. Step 3: Cross multiply
    85,229x = 183,539.50 × 183,539.50
  4. Step 4: Simplify right side
    85,229x = 33,686,748,060.25
  5. Step 5: Solve for x
    x = 33,686,748,060.25/85,229
  6. Step 6: Final answer
    x = 395,249.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.