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Finding the Third Proportional to 65,387 and 92,075

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Solution

The third proportional to 65,387 and 92,075 is: 129,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,387 : 92,075 = 92,075 : x
  2. Step 2: Convert to fraction form
    65,387/92,075 = 92,075/x
  3. Step 3: Cross multiply
    65,387x = 92,075 × 92,075
  4. Step 4: Simplify right side
    65,387x = 8,477,805,625
  5. Step 5: Solve for x
    x = 8,477,805,625/65,387
  6. Step 6: Final answer
    x = 129,655.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.