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Finding the Third Proportional to 93,762 and 203,148

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Solution

The third proportional to 93,762 and 203,148 is: 440,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,762 : 203,148 = 203,148 : x
  2. Step 2: Convert to fraction form
    93,762/203,148 = 203,148/x
  3. Step 3: Cross multiply
    93,762x = 203,148 × 203,148
  4. Step 4: Simplify right side
    93,762x = 41,269,109,904
  5. Step 5: Solve for x
    x = 41,269,109,904/93,762
  6. Step 6: Final answer
    x = 440,147.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.