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Finding the Third Proportional to 40,426.59 and 85,042.41

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Solution

The third proportional to 40,426.59 and 85,042.41 is: 178,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,426.59 : 85,042.41 = 85,042.41 : x
  2. Step 2: Convert to fraction form
    40,426.59/85,042.41 = 85,042.41/x
  3. Step 3: Cross multiply
    40,426.59x = 85,042.41 × 85,042.41
  4. Step 4: Simplify right side
    40,426.59x = 7,232,210,860.79
  5. Step 5: Solve for x
    x = 7,232,210,860.79/40,426.59
  6. Step 6: Final answer
    x = 178,897.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.