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Finding the Third Proportional to 65,367 and 92,050.13

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Solution

The third proportional to 65,367 and 92,050.13 is: 129,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367 : 92,050.13 = 92,050.13 : x
  2. Step 2: Convert to fraction form
    65,367/92,050.13 = 92,050.13/x
  3. Step 3: Cross multiply
    65,367x = 92,050.13 × 92,050.13
  4. Step 4: Simplify right side
    65,367x = 8,473,225,512.52
  5. Step 5: Solve for x
    x = 8,473,225,512.52/65,367
  6. Step 6: Final answer
    x = 129,625.43

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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.