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Finding the Third Proportional to 42,058.69 and 92,291.06

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Solution

The third proportional to 42,058.69 and 92,291.06 is: 202,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,058.69 : 92,291.06 = 92,291.06 : x
  2. Step 2: Convert to fraction form
    42,058.69/92,291.06 = 92,291.06/x
  3. Step 3: Cross multiply
    42,058.69x = 92,291.06 × 92,291.06
  4. Step 4: Simplify right side
    42,058.69x = 8,517,640,217.38
  5. Step 5: Solve for x
    x = 8,517,640,217.38/42,058.69
  6. Step 6: Final answer
    x = 202,517.97

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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.