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Finding the Third Proportional to 45,972 and 65,061

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Solution

The third proportional to 45,972 and 65,061 is: 92,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,972 : 65,061 = 65,061 : x
  2. Step 2: Convert to fraction form
    45,972/65,061 = 65,061/x
  3. Step 3: Cross multiply
    45,972x = 65,061 × 65,061
  4. Step 4: Simplify right side
    45,972x = 4,232,933,721
  5. Step 5: Solve for x
    x = 4,232,933,721/45,972
  6. Step 6: Final answer
    x = 92,076.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.