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Finding the Third Proportional to 94,176 and 206,064

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Solution

The third proportional to 94,176 and 206,064 is: 450,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,176 : 206,064 = 206,064 : x
  2. Step 2: Convert to fraction form
    94,176/206,064 = 206,064/x
  3. Step 3: Cross multiply
    94,176x = 206,064 × 206,064
  4. Step 4: Simplify right side
    94,176x = 42,462,372,096
  5. Step 5: Solve for x
    x = 42,462,372,096/94,176
  6. Step 6: Final answer
    x = 450,883.16

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Why These Related Problems?

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