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Finding the Third Proportional to 85,492.50 and 127,761

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Solution

The third proportional to 85,492.50 and 127,761 is: 190,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,492.50 : 127,761 = 127,761 : x
  2. Step 2: Convert to fraction form
    85,492.50/127,761 = 127,761/x
  3. Step 3: Cross multiply
    85,492.50x = 127,761 × 127,761
  4. Step 4: Simplify right side
    85,492.50x = 16,322,873,121
  5. Step 5: Solve for x
    x = 16,322,873,121/85,492.50
  6. Step 6: Final answer
    x = 190,927.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.