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Finding the Third Proportional to 68,636 and 103,678

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Solution

The third proportional to 68,636 and 103,678 is: 156,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,636 : 103,678 = 103,678 : x
  2. Step 2: Convert to fraction form
    68,636/103,678 = 103,678/x
  3. Step 3: Cross multiply
    68,636x = 103,678 × 103,678
  4. Step 4: Simplify right side
    68,636x = 10,749,127,684
  5. Step 5: Solve for x
    x = 10,749,127,684/68,636
  6. Step 6: Final answer
    x = 156,610.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.