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Finding the Third Proportional to 40,937.91 and 85,376.53

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Solution

The third proportional to 40,937.91 and 85,376.53 is: 178,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,937.91 : 85,376.53 = 85,376.53 : x
  2. Step 2: Convert to fraction form
    40,937.91/85,376.53 = 85,376.53/x
  3. Step 3: Cross multiply
    40,937.91x = 85,376.53 × 85,376.53
  4. Step 4: Simplify right side
    40,937.91x = 7,289,152,088.28
  5. Step 5: Solve for x
    x = 7,289,152,088.28/40,937.91
  6. Step 6: Final answer
    x = 178,053.86

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.