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Finding the Third Proportional to 70,137 and 151,938

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Solution

The third proportional to 70,137 and 151,938 is: 329,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,137 : 151,938 = 151,938 : x
  2. Step 2: Convert to fraction form
    70,137/151,938 = 151,938/x
  3. Step 3: Cross multiply
    70,137x = 151,938 × 151,938
  4. Step 4: Simplify right side
    70,137x = 23,085,155,844
  5. Step 5: Solve for x
    x = 23,085,155,844/70,137
  6. Step 6: Final answer
    x = 329,143.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.