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Finding the Third Proportional to 85,088.25 and 178,884

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Solution

The third proportional to 85,088.25 and 178,884 is: 376,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,088.25 : 178,884 = 178,884 : x
  2. Step 2: Convert to fraction form
    85,088.25/178,884 = 178,884/x
  3. Step 3: Cross multiply
    85,088.25x = 178,884 × 178,884
  4. Step 4: Simplify right side
    85,088.25x = 31,999,485,456
  5. Step 5: Solve for x
    x = 31,999,485,456/85,088.25
  6. Step 6: Final answer
    x = 376,074.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.