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Finding the Third Proportional to 80,004 and 114,333

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Solution

The third proportional to 80,004 and 114,333 is: 163,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,004 : 114,333 = 114,333 : x
  2. Step 2: Convert to fraction form
    80,004/114,333 = 114,333/x
  3. Step 3: Cross multiply
    80,004x = 114,333 × 114,333
  4. Step 4: Simplify right side
    80,004x = 13,072,034,889
  5. Step 5: Solve for x
    x = 13,072,034,889/80,004
  6. Step 6: Final answer
    x = 163,392.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.