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Finding the Third Proportional to 93,927 and 205,762

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Solution

The third proportional to 93,927 and 205,762 is: 450,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,927 : 205,762 = 205,762 : x
  2. Step 2: Convert to fraction form
    93,927/205,762 = 205,762/x
  3. Step 3: Cross multiply
    93,927x = 205,762 × 205,762
  4. Step 4: Simplify right side
    93,927x = 42,338,000,644
  5. Step 5: Solve for x
    x = 42,338,000,644/93,927
  6. Step 6: Final answer
    x = 450,754.32

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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.