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Finding the Third Proportional to 40,970 and 61,194

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Solution

The third proportional to 40,970 and 61,194 is: 91,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970 : 61,194 = 61,194 : x
  2. Step 2: Convert to fraction form
    40,970/61,194 = 61,194/x
  3. Step 3: Cross multiply
    40,970x = 61,194 × 61,194
  4. Step 4: Simplify right side
    40,970x = 3,744,705,636
  5. Step 5: Solve for x
    x = 3,744,705,636/40,970
  6. Step 6: Final answer
    x = 91,401.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.