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Finding the Third Proportional to 68,095.50 and 134,447.25

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Solution

The third proportional to 68,095.50 and 134,447.25 is: 265,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,095.50 : 134,447.25 = 134,447.25 : x
  2. Step 2: Convert to fraction form
    68,095.50/134,447.25 = 134,447.25/x
  3. Step 3: Cross multiply
    68,095.50x = 134,447.25 × 134,447.25
  4. Step 4: Simplify right side
    68,095.50x = 18,076,063,032.56
  5. Step 5: Solve for x
    x = 18,076,063,032.56/68,095.50
  6. Step 6: Final answer
    x = 265,451.65

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.