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Finding the Third Proportional to 66,947 and 146,832

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Solution

The third proportional to 66,947 and 146,832 is: 322,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,947 : 146,832 = 146,832 : x
  2. Step 2: Convert to fraction form
    66,947/146,832 = 146,832/x
  3. Step 3: Cross multiply
    66,947x = 146,832 × 146,832
  4. Step 4: Simplify right side
    66,947x = 21,559,636,224
  5. Step 5: Solve for x
    x = 21,559,636,224/66,947
  6. Step 6: Final answer
    x = 322,040.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.