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Finding the Third Proportional to 93,751 and 205,310

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Solution

The third proportional to 93,751 and 205,310 is: 449,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,751 : 205,310 = 205,310 : x
  2. Step 2: Convert to fraction form
    93,751/205,310 = 205,310/x
  3. Step 3: Cross multiply
    93,751x = 205,310 × 205,310
  4. Step 4: Simplify right side
    93,751x = 42,152,196,100
  5. Step 5: Solve for x
    x = 42,152,196,100/93,751
  6. Step 6: Final answer
    x = 449,618.63

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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.