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Finding the Third Proportional to 69,162 and 106,985

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Solution

The third proportional to 69,162 and 106,985 is: 165,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,162 : 106,985 = 106,985 : x
  2. Step 2: Convert to fraction form
    69,162/106,985 = 106,985/x
  3. Step 3: Cross multiply
    69,162x = 106,985 × 106,985
  4. Step 4: Simplify right side
    69,162x = 11,445,790,225
  5. Step 5: Solve for x
    x = 11,445,790,225/69,162
  6. Step 6: Final answer
    x = 165,492.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.