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Finding the Third Proportional to 68,692.50 and 108,571.50

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Solution

The third proportional to 68,692.50 and 108,571.50 is: 171,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692.50 : 108,571.50 = 108,571.50 : x
  2. Step 2: Convert to fraction form
    68,692.50/108,571.50 = 108,571.50/x
  3. Step 3: Cross multiply
    68,692.50x = 108,571.50 × 108,571.50
  4. Step 4: Simplify right side
    68,692.50x = 11,787,770,612.25
  5. Step 5: Solve for x
    x = 11,787,770,612.25/68,692.50
  6. Step 6: Final answer
    x = 171,602.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.