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Finding the Third Proportional to 93,624 and 195,022

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Solution

The third proportional to 93,624 and 195,022 is: 406,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,624 : 195,022 = 195,022 : x
  2. Step 2: Convert to fraction form
    93,624/195,022 = 195,022/x
  3. Step 3: Cross multiply
    93,624x = 195,022 × 195,022
  4. Step 4: Simplify right side
    93,624x = 38,033,580,484
  5. Step 5: Solve for x
    x = 38,033,580,484/93,624
  6. Step 6: Final answer
    x = 406,237.51

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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.