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Finding the Third Proportional to 93,774 and 221,226

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Solution

The third proportional to 93,774 and 221,226 is: 521,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,774 : 221,226 = 221,226 : x
  2. Step 2: Convert to fraction form
    93,774/221,226 = 221,226/x
  3. Step 3: Cross multiply
    93,774x = 221,226 × 221,226
  4. Step 4: Simplify right side
    93,774x = 48,940,943,076
  5. Step 5: Solve for x
    x = 48,940,943,076/93,774
  6. Step 6: Final answer
    x = 521,903.12

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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.