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Finding the Third Proportional to 88,036.50 and 186,981

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Solution

The third proportional to 88,036.50 and 186,981 is: 397,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,036.50 : 186,981 = 186,981 : x
  2. Step 2: Convert to fraction form
    88,036.50/186,981 = 186,981/x
  3. Step 3: Cross multiply
    88,036.50x = 186,981 × 186,981
  4. Step 4: Simplify right side
    88,036.50x = 34,961,894,361
  5. Step 5: Solve for x
    x = 34,961,894,361/88,036.50
  6. Step 6: Final answer
    x = 397,129.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.