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Finding the Third Proportional to 70,755 and 154,002

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Solution

The third proportional to 70,755 and 154,002 is: 335,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,755 : 154,002 = 154,002 : x
  2. Step 2: Convert to fraction form
    70,755/154,002 = 154,002/x
  3. Step 3: Cross multiply
    70,755x = 154,002 × 154,002
  4. Step 4: Simplify right side
    70,755x = 23,716,616,004
  5. Step 5: Solve for x
    x = 23,716,616,004/70,755
  6. Step 6: Final answer
    x = 335,193.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.