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Finding the Third Proportional to 57,502 and 88,075

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Solution

The third proportional to 57,502 and 88,075 is: 134,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502 : 88,075 = 88,075 : x
  2. Step 2: Convert to fraction form
    57,502/88,075 = 88,075/x
  3. Step 3: Cross multiply
    57,502x = 88,075 × 88,075
  4. Step 4: Simplify right side
    57,502x = 7,757,205,625
  5. Step 5: Solve for x
    x = 7,757,205,625/57,502
  6. Step 6: Final answer
    x = 134,903.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.