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Finding the Third Proportional to 74,004 and 114,670

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Solution

The third proportional to 74,004 and 114,670 is: 177,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,004 : 114,670 = 114,670 : x
  2. Step 2: Convert to fraction form
    74,004/114,670 = 114,670/x
  3. Step 3: Cross multiply
    74,004x = 114,670 × 114,670
  4. Step 4: Simplify right side
    74,004x = 13,149,208,900
  5. Step 5: Solve for x
    x = 13,149,208,900/74,004
  6. Step 6: Final answer
    x = 177,682.41

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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.