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Finding the Third Proportional to 50,274 and 70,272

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Solution

The third proportional to 50,274 and 70,272 is: 98,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,274 : 70,272 = 70,272 : x
  2. Step 2: Convert to fraction form
    50,274/70,272 = 70,272/x
  3. Step 3: Cross multiply
    50,274x = 70,272 × 70,272
  4. Step 4: Simplify right side
    50,274x = 4,938,153,984
  5. Step 5: Solve for x
    x = 4,938,153,984/50,274
  6. Step 6: Final answer
    x = 98,224.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.