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Finding the Third Proportional to 93,576 and 205,251

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Solution

The third proportional to 93,576 and 205,251 is: 450,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,576 : 205,251 = 205,251 : x
  2. Step 2: Convert to fraction form
    93,576/205,251 = 205,251/x
  3. Step 3: Cross multiply
    93,576x = 205,251 × 205,251
  4. Step 4: Simplify right side
    93,576x = 42,127,973,001
  5. Step 5: Solve for x
    x = 42,127,973,001/93,576
  6. Step 6: Final answer
    x = 450,200.62

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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.