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Finding the Third Proportional to 45,086 and 64,942

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Solution

The third proportional to 45,086 and 64,942 is: 93,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,086 : 64,942 = 64,942 : x
  2. Step 2: Convert to fraction form
    45,086/64,942 = 64,942/x
  3. Step 3: Cross multiply
    45,086x = 64,942 × 64,942
  4. Step 4: Simplify right side
    45,086x = 4,217,463,364
  5. Step 5: Solve for x
    x = 4,217,463,364/45,086
  6. Step 6: Final answer
    x = 93,542.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.