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Finding the Third Proportional to 57,075 and 88,722

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Solution

The third proportional to 57,075 and 88,722 is: 137,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,075 : 88,722 = 88,722 : x
  2. Step 2: Convert to fraction form
    57,075/88,722 = 88,722/x
  3. Step 3: Cross multiply
    57,075x = 88,722 × 88,722
  4. Step 4: Simplify right side
    57,075x = 7,871,593,284
  5. Step 5: Solve for x
    x = 7,871,593,284/57,075
  6. Step 6: Final answer
    x = 137,916.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.