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Finding the Third Proportional to 42,436.69 and 92,175.19

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Solution

The third proportional to 42,436.69 and 92,175.19 is: 200,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,436.69 : 92,175.19 = 92,175.19 : x
  2. Step 2: Convert to fraction form
    42,436.69/92,175.19 = 92,175.19/x
  3. Step 3: Cross multiply
    42,436.69x = 92,175.19 × 92,175.19
  4. Step 4: Simplify right side
    42,436.69x = 8,496,265,190.66
  5. Step 5: Solve for x
    x = 8,496,265,190.66/42,436.69
  6. Step 6: Final answer
    x = 200,210.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.