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Finding the Third Proportional to 70,583 and 146,974

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Solution

The third proportional to 70,583 and 146,974 is: 306,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,583 : 146,974 = 146,974 : x
  2. Step 2: Convert to fraction form
    70,583/146,974 = 146,974/x
  3. Step 3: Cross multiply
    70,583x = 146,974 × 146,974
  4. Step 4: Simplify right side
    70,583x = 21,601,356,676
  5. Step 5: Solve for x
    x = 21,601,356,676/70,583
  6. Step 6: Final answer
    x = 306,041.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.