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Finding the Third Proportional to 85,070.25 and 183,141

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Solution

The third proportional to 85,070.25 and 183,141 is: 394,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,070.25 : 183,141 = 183,141 : x
  2. Step 2: Convert to fraction form
    85,070.25/183,141 = 183,141/x
  3. Step 3: Cross multiply
    85,070.25x = 183,141 × 183,141
  4. Step 4: Simplify right side
    85,070.25x = 33,540,625,881
  5. Step 5: Solve for x
    x = 33,540,625,881/85,070.25
  6. Step 6: Final answer
    x = 394,269.75

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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.