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Finding the Third Proportional to 72,664 and 162,337

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Solution

The third proportional to 72,664 and 162,337 is: 362,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,664 : 162,337 = 162,337 : x
  2. Step 2: Convert to fraction form
    72,664/162,337 = 162,337/x
  3. Step 3: Cross multiply
    72,664x = 162,337 × 162,337
  4. Step 4: Simplify right side
    72,664x = 26,353,301,569
  5. Step 5: Solve for x
    x = 26,353,301,569/72,664
  6. Step 6: Final answer
    x = 362,673.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.