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Finding the Third Proportional to 40,051.69 and 85,280.63

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Solution

The third proportional to 40,051.69 and 85,280.63 is: 181,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,051.69 : 85,280.63 = 85,280.63 : x
  2. Step 2: Convert to fraction form
    40,051.69/85,280.63 = 85,280.63/x
  3. Step 3: Cross multiply
    40,051.69x = 85,280.63 × 85,280.63
  4. Step 4: Simplify right side
    40,051.69x = 7,272,785,000.39
  5. Step 5: Solve for x
    x = 7,272,785,000.39/40,051.69
  6. Step 6: Final answer
    x = 181,584.98

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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.