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Finding the Third Proportional to 67,458 and 147,064

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Solution

The third proportional to 67,458 and 147,064 is: 320,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,458 : 147,064 = 147,064 : x
  2. Step 2: Convert to fraction form
    67,458/147,064 = 147,064/x
  3. Step 3: Cross multiply
    67,458x = 147,064 × 147,064
  4. Step 4: Simplify right side
    67,458x = 21,627,820,096
  5. Step 5: Solve for x
    x = 21,627,820,096/67,458
  6. Step 6: Final answer
    x = 320,611.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.