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Finding the Third Proportional to 114,959 and 168,064

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Solution

The third proportional to 114,959 and 168,064 is: 245,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,959 : 168,064 = 168,064 : x
  2. Step 2: Convert to fraction form
    114,959/168,064 = 168,064/x
  3. Step 3: Cross multiply
    114,959x = 168,064 × 168,064
  4. Step 4: Simplify right side
    114,959x = 28,245,508,096
  5. Step 5: Solve for x
    x = 28,245,508,096/114,959
  6. Step 6: Final answer
    x = 245,700.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.