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Finding the Third Proportional to 44,405 and 92,915

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Solution

The third proportional to 44,405 and 92,915 is: 194,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,405 : 92,915 = 92,915 : x
  2. Step 2: Convert to fraction form
    44,405/92,915 = 92,915/x
  3. Step 3: Cross multiply
    44,405x = 92,915 × 92,915
  4. Step 4: Simplify right side
    44,405x = 8,633,197,225
  5. Step 5: Solve for x
    x = 8,633,197,225/44,405
  6. Step 6: Final answer
    x = 194,419.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.