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Finding the Third Proportional to 93,733 and 205,265

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Solution

The third proportional to 93,733 and 205,265 is: 449,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,733 : 205,265 = 205,265 : x
  2. Step 2: Convert to fraction form
    93,733/205,265 = 205,265/x
  3. Step 3: Cross multiply
    93,733x = 205,265 × 205,265
  4. Step 4: Simplify right side
    93,733x = 42,133,720,225
  5. Step 5: Solve for x
    x = 42,133,720,225/93,733
  6. Step 6: Final answer
    x = 449,507.86

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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.