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Finding the Third Proportional to 73,555 and 158,771

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Solution

The third proportional to 73,555 and 158,771 is: 342,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,555 : 158,771 = 158,771 : x
  2. Step 2: Convert to fraction form
    73,555/158,771 = 158,771/x
  3. Step 3: Cross multiply
    73,555x = 158,771 × 158,771
  4. Step 4: Simplify right side
    73,555x = 25,208,230,441
  5. Step 5: Solve for x
    x = 25,208,230,441/73,555
  6. Step 6: Final answer
    x = 342,712.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.