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Finding the Third Proportional to 42,451 and 93,064

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Solution

The third proportional to 42,451 and 93,064 is: 204,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451 : 93,064 = 93,064 : x
  2. Step 2: Convert to fraction form
    42,451/93,064 = 93,064/x
  3. Step 3: Cross multiply
    42,451x = 93,064 × 93,064
  4. Step 4: Simplify right side
    42,451x = 8,660,908,096
  5. Step 5: Solve for x
    x = 8,660,908,096/42,451
  6. Step 6: Final answer
    x = 204,021.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.