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Finding the Third Proportional to 86,692.50 and 137,925

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Solution

The third proportional to 86,692.50 and 137,925 is: 219,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,692.50 : 137,925 = 137,925 : x
  2. Step 2: Convert to fraction form
    86,692.50/137,925 = 137,925/x
  3. Step 3: Cross multiply
    86,692.50x = 137,925 × 137,925
  4. Step 4: Simplify right side
    86,692.50x = 19,023,305,625
  5. Step 5: Solve for x
    x = 19,023,305,625/86,692.50
  6. Step 6: Final answer
    x = 219,434.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.