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Finding the Third Proportional to 67,710 and 103,075

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Solution

The third proportional to 67,710 and 103,075 is: 156,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,710 : 103,075 = 103,075 : x
  2. Step 2: Convert to fraction form
    67,710/103,075 = 103,075/x
  3. Step 3: Cross multiply
    67,710x = 103,075 × 103,075
  4. Step 4: Simplify right side
    67,710x = 10,624,455,625
  5. Step 5: Solve for x
    x = 10,624,455,625/67,710
  6. Step 6: Final answer
    x = 156,911.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.