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Finding the Third Proportional to 88,037 and 186,982

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Solution

The third proportional to 88,037 and 186,982 is: 397,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,037 : 186,982 = 186,982 : x
  2. Step 2: Convert to fraction form
    88,037/186,982 = 186,982/x
  3. Step 3: Cross multiply
    88,037x = 186,982 × 186,982
  4. Step 4: Simplify right side
    88,037x = 34,962,268,324
  5. Step 5: Solve for x
    x = 34,962,268,324/88,037
  6. Step 6: Final answer
    x = 397,131.53

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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.