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Finding the Third Proportional to 41,798 and 90,964

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Solution

The third proportional to 41,798 and 90,964 is: 197,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,798 : 90,964 = 90,964 : x
  2. Step 2: Convert to fraction form
    41,798/90,964 = 90,964/x
  3. Step 3: Cross multiply
    41,798x = 90,964 × 90,964
  4. Step 4: Simplify right side
    41,798x = 8,274,449,296
  5. Step 5: Solve for x
    x = 8,274,449,296/41,798
  6. Step 6: Final answer
    x = 197,962.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.