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Finding the Third Proportional to 85,054.50 and 183,109

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Solution

The third proportional to 85,054.50 and 183,109 is: 394,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,054.50 : 183,109 = 183,109 : x
  2. Step 2: Convert to fraction form
    85,054.50/183,109 = 183,109/x
  3. Step 3: Cross multiply
    85,054.50x = 183,109 × 183,109
  4. Step 4: Simplify right side
    85,054.50x = 33,528,905,881
  5. Step 5: Solve for x
    x = 33,528,905,881/85,054.50
  6. Step 6: Final answer
    x = 394,204.96

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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.