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Finding the Third Proportional to 94,260 and 195,081

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Solution

The third proportional to 94,260 and 195,081 is: 403,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,260 : 195,081 = 195,081 : x
  2. Step 2: Convert to fraction form
    94,260/195,081 = 195,081/x
  3. Step 3: Cross multiply
    94,260x = 195,081 × 195,081
  4. Step 4: Simplify right side
    94,260x = 38,056,596,561
  5. Step 5: Solve for x
    x = 38,056,596,561/94,260
  6. Step 6: Final answer
    x = 403,740.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.