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Finding the Third Proportional to 35,150 and 82,973

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Solution

The third proportional to 35,150 and 82,973 is: 195,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,150 : 82,973 = 82,973 : x
  2. Step 2: Convert to fraction form
    35,150/82,973 = 82,973/x
  3. Step 3: Cross multiply
    35,150x = 82,973 × 82,973
  4. Step 4: Simplify right side
    35,150x = 6,884,518,729
  5. Step 5: Solve for x
    x = 6,884,518,729/35,150
  6. Step 6: Final answer
    x = 195,861.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.