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Finding the Third Proportional to 41,680 and 90,010

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Solution

The third proportional to 41,680 and 90,010 is: 194,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,680 : 90,010 = 90,010 : x
  2. Step 2: Convert to fraction form
    41,680/90,010 = 90,010/x
  3. Step 3: Cross multiply
    41,680x = 90,010 × 90,010
  4. Step 4: Simplify right side
    41,680x = 8,101,800,100
  5. Step 5: Solve for x
    x = 8,101,800,100/41,680
  6. Step 6: Final answer
    x = 194,381.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.