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Finding the Third Proportional to 42,337.50 and 91,971

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Solution

The third proportional to 42,337.50 and 91,971 is: 199,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,337.50 : 91,971 = 91,971 : x
  2. Step 2: Convert to fraction form
    42,337.50/91,971 = 91,971/x
  3. Step 3: Cross multiply
    42,337.50x = 91,971 × 91,971
  4. Step 4: Simplify right side
    42,337.50x = 8,458,664,841
  5. Step 5: Solve for x
    x = 8,458,664,841/42,337.50
  6. Step 6: Final answer
    x = 199,791.32

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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.