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Finding the Third Proportional to 68,742 and 103,113

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Solution

The third proportional to 68,742 and 103,113 is: 154,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,742 : 103,113 = 103,113 : x
  2. Step 2: Convert to fraction form
    68,742/103,113 = 103,113/x
  3. Step 3: Cross multiply
    68,742x = 103,113 × 103,113
  4. Step 4: Simplify right side
    68,742x = 10,632,290,769
  5. Step 5: Solve for x
    x = 10,632,290,769/68,742
  6. Step 6: Final answer
    x = 154,669.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.