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Finding the Third Proportional to 42,077.32 and 92,072.39

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Solution

The third proportional to 42,077.32 and 92,072.39 is: 201,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,077.32 : 92,072.39 = 92,072.39 : x
  2. Step 2: Convert to fraction form
    42,077.32/92,072.39 = 92,072.39/x
  3. Step 3: Cross multiply
    42,077.32x = 92,072.39 × 92,072.39
  4. Step 4: Simplify right side
    42,077.32x = 8,477,325,115.40
  5. Step 5: Solve for x
    x = 8,477,325,115.40/42,077.32
  6. Step 6: Final answer
    x = 201,470.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.