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Finding the Third Proportional to 93,732 and 197,262

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Solution

The third proportional to 93,732 and 197,262 is: 415,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,732 : 197,262 = 197,262 : x
  2. Step 2: Convert to fraction form
    93,732/197,262 = 197,262/x
  3. Step 3: Cross multiply
    93,732x = 197,262 × 197,262
  4. Step 4: Simplify right side
    93,732x = 38,912,296,644
  5. Step 5: Solve for x
    x = 38,912,296,644/93,732
  6. Step 6: Final answer
    x = 415,144.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.