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Finding the Third Proportional to 61,372.50 and 83,297.25

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Solution

The third proportional to 61,372.50 and 83,297.25 is: 113,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,372.50 : 83,297.25 = 83,297.25 : x
  2. Step 2: Convert to fraction form
    61,372.50/83,297.25 = 83,297.25/x
  3. Step 3: Cross multiply
    61,372.50x = 83,297.25 × 83,297.25
  4. Step 4: Simplify right side
    61,372.50x = 6,938,431,857.56
  5. Step 5: Solve for x
    x = 6,938,431,857.56/61,372.50
  6. Step 6: Final answer
    x = 113,054.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.