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Finding the Third Proportional to 103,662 and 160,075

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Solution

The third proportional to 103,662 and 160,075 is: 247,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662 : 160,075 = 160,075 : x
  2. Step 2: Convert to fraction form
    103,662/160,075 = 160,075/x
  3. Step 3: Cross multiply
    103,662x = 160,075 × 160,075
  4. Step 4: Simplify right side
    103,662x = 25,624,005,625
  5. Step 5: Solve for x
    x = 25,624,005,625/103,662
  6. Step 6: Final answer
    x = 247,188.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.