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Finding the Third Proportional to 94,504 and 146,222

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Solution

The third proportional to 94,504 and 146,222 is: 226,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,504 : 146,222 = 146,222 : x
  2. Step 2: Convert to fraction form
    94,504/146,222 = 146,222/x
  3. Step 3: Cross multiply
    94,504x = 146,222 × 146,222
  4. Step 4: Simplify right side
    94,504x = 21,380,873,284
  5. Step 5: Solve for x
    x = 21,380,873,284/94,504
  6. Step 6: Final answer
    x = 226,243.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.