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Finding the Third Proportional to 73,896 and 162,984

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Solution

The third proportional to 73,896 and 162,984 is: 359,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896 : 162,984 = 162,984 : x
  2. Step 2: Convert to fraction form
    73,896/162,984 = 162,984/x
  3. Step 3: Cross multiply
    73,896x = 162,984 × 162,984
  4. Step 4: Simplify right side
    73,896x = 26,563,784,256
  5. Step 5: Solve for x
    x = 26,563,784,256/73,896
  6. Step 6: Final answer
    x = 359,475.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.