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Finding the Third Proportional to 88,072.50 and 117,981

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Solution

The third proportional to 88,072.50 and 117,981 is: 158,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,072.50 : 117,981 = 117,981 : x
  2. Step 2: Convert to fraction form
    88,072.50/117,981 = 117,981/x
  3. Step 3: Cross multiply
    88,072.50x = 117,981 × 117,981
  4. Step 4: Simplify right side
    88,072.50x = 13,919,516,361
  5. Step 5: Solve for x
    x = 13,919,516,361/88,072.50
  6. Step 6: Final answer
    x = 158,046.11

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.