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Finding the Third Proportional to 30,075 and 65,271

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Solution

The third proportional to 30,075 and 65,271 is: 141,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075 : 65,271 = 65,271 : x
  2. Step 2: Convert to fraction form
    30,075/65,271 = 65,271/x
  3. Step 3: Cross multiply
    30,075x = 65,271 × 65,271
  4. Step 4: Simplify right side
    30,075x = 4,260,303,441
  5. Step 5: Solve for x
    x = 4,260,303,441/30,075
  6. Step 6: Final answer
    x = 141,655.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.