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Finding the Third Proportional to 60,754.50 and 91,971

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Solution

The third proportional to 60,754.50 and 91,971 is: 139,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,754.50 : 91,971 = 91,971 : x
  2. Step 2: Convert to fraction form
    60,754.50/91,971 = 91,971/x
  3. Step 3: Cross multiply
    60,754.50x = 91,971 × 91,971
  4. Step 4: Simplify right side
    60,754.50x = 8,458,664,841
  5. Step 5: Solve for x
    x = 8,458,664,841/60,754.50
  6. Step 6: Final answer
    x = 139,226.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.