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Finding the Third Proportional to 68,973 and 150,861

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Solution

The third proportional to 68,973 and 150,861 is: 329,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,973 : 150,861 = 150,861 : x
  2. Step 2: Convert to fraction form
    68,973/150,861 = 150,861/x
  3. Step 3: Cross multiply
    68,973x = 150,861 × 150,861
  4. Step 4: Simplify right side
    68,973x = 22,759,041,321
  5. Step 5: Solve for x
    x = 22,759,041,321/68,973
  6. Step 6: Final answer
    x = 329,970.30

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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.