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Finding the Third Proportional to 41,770.50 and 98,554

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Solution

The third proportional to 41,770.50 and 98,554 is: 232,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,770.50 : 98,554 = 98,554 : x
  2. Step 2: Convert to fraction form
    41,770.50/98,554 = 98,554/x
  3. Step 3: Cross multiply
    41,770.50x = 98,554 × 98,554
  4. Step 4: Simplify right side
    41,770.50x = 9,712,890,916
  5. Step 5: Solve for x
    x = 9,712,890,916/41,770.50
  6. Step 6: Final answer
    x = 232,529.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.