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Finding the Third Proportional to 74,471 and 163,973

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Solution

The third proportional to 74,471 and 163,973 is: 361,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471 : 163,973 = 163,973 : x
  2. Step 2: Convert to fraction form
    74,471/163,973 = 163,973/x
  3. Step 3: Cross multiply
    74,471x = 163,973 × 163,973
  4. Step 4: Simplify right side
    74,471x = 26,887,144,729
  5. Step 5: Solve for x
    x = 26,887,144,729/74,471
  6. Step 6: Final answer
    x = 361,041.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.