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Finding the Third Proportional to 63,984 and 140,064

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Solution

The third proportional to 63,984 and 140,064 is: 306,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,984 : 140,064 = 140,064 : x
  2. Step 2: Convert to fraction form
    63,984/140,064 = 140,064/x
  3. Step 3: Cross multiply
    63,984x = 140,064 × 140,064
  4. Step 4: Simplify right side
    63,984x = 19,617,924,096
  5. Step 5: Solve for x
    x = 19,617,924,096/63,984
  6. Step 6: Final answer
    x = 306,606.72

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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.