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Finding the Third Proportional to 86,837 and 131,179.50

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Solution

The third proportional to 86,837 and 131,179.50 is: 198,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,837 : 131,179.50 = 131,179.50 : x
  2. Step 2: Convert to fraction form
    86,837/131,179.50 = 131,179.50/x
  3. Step 3: Cross multiply
    86,837x = 131,179.50 × 131,179.50
  4. Step 4: Simplify right side
    86,837x = 17,208,061,220.25
  5. Step 5: Solve for x
    x = 17,208,061,220.25/86,837
  6. Step 6: Final answer
    x = 198,165.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.