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Finding the Third Proportional to 42,111.50 and 92,135.75

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Solution

The third proportional to 42,111.50 and 92,135.75 is: 201,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,111.50 : 92,135.75 = 92,135.75 : x
  2. Step 2: Convert to fraction form
    42,111.50/92,135.75 = 92,135.75/x
  3. Step 3: Cross multiply
    42,111.50x = 92,135.75 × 92,135.75
  4. Step 4: Simplify right side
    42,111.50x = 8,488,996,428.06
  5. Step 5: Solve for x
    x = 8,488,996,428.06/42,111.50
  6. Step 6: Final answer
    x = 201,583.81

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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.