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Finding the Third Proportional to 94,772 and 202,666

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Solution

The third proportional to 94,772 and 202,666 is: 433,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,772 : 202,666 = 202,666 : x
  2. Step 2: Convert to fraction form
    94,772/202,666 = 202,666/x
  3. Step 3: Cross multiply
    94,772x = 202,666 × 202,666
  4. Step 4: Simplify right side
    94,772x = 41,073,507,556
  5. Step 5: Solve for x
    x = 41,073,507,556/94,772
  6. Step 6: Final answer
    x = 433,392.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.