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Finding the Third Proportional to 73,956 and 162,664

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Solution

The third proportional to 73,956 and 162,664 is: 357,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,956 : 162,664 = 162,664 : x
  2. Step 2: Convert to fraction form
    73,956/162,664 = 162,664/x
  3. Step 3: Cross multiply
    73,956x = 162,664 × 162,664
  4. Step 4: Simplify right side
    73,956x = 26,459,576,896
  5. Step 5: Solve for x
    x = 26,459,576,896/73,956
  6. Step 6: Final answer
    x = 357,774.58

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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.