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Finding the Third Proportional to 78,004 and 114,081

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Solution

The third proportional to 78,004 and 114,081 is: 166,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004 : 114,081 = 114,081 : x
  2. Step 2: Convert to fraction form
    78,004/114,081 = 114,081/x
  3. Step 3: Cross multiply
    78,004x = 114,081 × 114,081
  4. Step 4: Simplify right side
    78,004x = 13,014,474,561
  5. Step 5: Solve for x
    x = 13,014,474,561/78,004
  6. Step 6: Final answer
    x = 166,843.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.