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Finding the Third Proportional to 74,004 and 161,832

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Solution

The third proportional to 74,004 and 161,832 is: 353,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,004 : 161,832 = 161,832 : x
  2. Step 2: Convert to fraction form
    74,004/161,832 = 161,832/x
  3. Step 3: Cross multiply
    74,004x = 161,832 × 161,832
  4. Step 4: Simplify right side
    74,004x = 26,189,596,224
  5. Step 5: Solve for x
    x = 26,189,596,224/74,004
  6. Step 6: Final answer
    x = 353,894.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.