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Finding the Third Proportional to 103,696 and 162,695

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Solution

The third proportional to 103,696 and 162,695 is: 255,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 162,695 = 162,695 : x
  2. Step 2: Convert to fraction form
    103,696/162,695 = 162,695/x
  3. Step 3: Cross multiply
    103,696x = 162,695 × 162,695
  4. Step 4: Simplify right side
    103,696x = 26,469,663,025
  5. Step 5: Solve for x
    x = 26,469,663,025/103,696
  6. Step 6: Final answer
    x = 255,262.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.