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Finding the Third Proportional to 71,226 and 151,984

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Solution

The third proportional to 71,226 and 151,984 is: 324,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226 : 151,984 = 151,984 : x
  2. Step 2: Convert to fraction form
    71,226/151,984 = 151,984/x
  3. Step 3: Cross multiply
    71,226x = 151,984 × 151,984
  4. Step 4: Simplify right side
    71,226x = 23,099,136,256
  5. Step 5: Solve for x
    x = 23,099,136,256/71,226
  6. Step 6: Final answer
    x = 324,307.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.