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Finding the Third Proportional to 93,805 and 205,126

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Solution

The third proportional to 93,805 and 205,126 is: 448,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,805 : 205,126 = 205,126 : x
  2. Step 2: Convert to fraction form
    93,805/205,126 = 205,126/x
  3. Step 3: Cross multiply
    93,805x = 205,126 × 205,126
  4. Step 4: Simplify right side
    93,805x = 42,076,675,876
  5. Step 5: Solve for x
    x = 42,076,675,876/93,805
  6. Step 6: Final answer
    x = 448,554.72

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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.