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Finding the Third Proportional to 94,909 and 192,545

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Solution

The third proportional to 94,909 and 192,545 is: 390,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,909 : 192,545 = 192,545 : x
  2. Step 2: Convert to fraction form
    94,909/192,545 = 192,545/x
  3. Step 3: Cross multiply
    94,909x = 192,545 × 192,545
  4. Step 4: Simplify right side
    94,909x = 37,073,577,025
  5. Step 5: Solve for x
    x = 37,073,577,025/94,909
  6. Step 6: Final answer
    x = 390,622.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.