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Finding the Third Proportional to 93,561 and 200,001

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Solution

The third proportional to 93,561 and 200,001 is: 427,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,561 : 200,001 = 200,001 : x
  2. Step 2: Convert to fraction form
    93,561/200,001 = 200,001/x
  3. Step 3: Cross multiply
    93,561x = 200,001 × 200,001
  4. Step 4: Simplify right side
    93,561x = 40,000,400,001
  5. Step 5: Solve for x
    x = 40,000,400,001/93,561
  6. Step 6: Final answer
    x = 427,532.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.