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Finding the Third Proportional to 41,853 and 97,731

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Solution

The third proportional to 41,853 and 97,731 is: 228,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,853 : 97,731 = 97,731 : x
  2. Step 2: Convert to fraction form
    41,853/97,731 = 97,731/x
  3. Step 3: Cross multiply
    41,853x = 97,731 × 97,731
  4. Step 4: Simplify right side
    41,853x = 9,551,348,361
  5. Step 5: Solve for x
    x = 9,551,348,361/41,853
  6. Step 6: Final answer
    x = 228,211.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.