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Finding the Third Proportional to 94,590 and 197,942

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Solution

The third proportional to 94,590 and 197,942 is: 414,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,590 : 197,942 = 197,942 : x
  2. Step 2: Convert to fraction form
    94,590/197,942 = 197,942/x
  3. Step 3: Cross multiply
    94,590x = 197,942 × 197,942
  4. Step 4: Simplify right side
    94,590x = 39,181,035,364
  5. Step 5: Solve for x
    x = 39,181,035,364/94,590
  6. Step 6: Final answer
    x = 414,219.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.