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Finding the Third Proportional to 32,000.06 and 68,085.56

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Solution

The third proportional to 32,000.06 and 68,085.56 is: 144,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.06 : 68,085.56 = 68,085.56 : x
  2. Step 2: Convert to fraction form
    32,000.06/68,085.56 = 68,085.56/x
  3. Step 3: Cross multiply
    32,000.06x = 68,085.56 × 68,085.56
  4. Step 4: Simplify right side
    32,000.06x = 4,635,643,820.94
  5. Step 5: Solve for x
    x = 4,635,643,820.94/32,000.06
  6. Step 6: Final answer
    x = 144,863.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.