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Finding the Third Proportional to 68,093 and 145,450

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Solution

The third proportional to 68,093 and 145,450 is: 310,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,093 : 145,450 = 145,450 : x
  2. Step 2: Convert to fraction form
    68,093/145,450 = 145,450/x
  3. Step 3: Cross multiply
    68,093x = 145,450 × 145,450
  4. Step 4: Simplify right side
    68,093x = 21,155,702,500
  5. Step 5: Solve for x
    x = 21,155,702,500/68,093
  6. Step 6: Final answer
    x = 310,688.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.