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Finding the Third Proportional to 73,558.13 and 163,771.88

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Solution

The third proportional to 73,558.13 and 163,771.88 is: 364,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,558.13 : 163,771.88 = 163,771.88 : x
  2. Step 2: Convert to fraction form
    73,558.13/163,771.88 = 163,771.88/x
  3. Step 3: Cross multiply
    73,558.13x = 163,771.88 × 163,771.88
  4. Step 4: Simplify right side
    73,558.13x = 26,821,227,041.02
  5. Step 5: Solve for x
    x = 26,821,227,041.02/73,558.13
  6. Step 6: Final answer
    x = 364,626.30

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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.