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Finding the Third Proportional to 72,765 and 159,057

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Solution

The third proportional to 72,765 and 159,057 is: 347,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765 : 159,057 = 159,057 : x
  2. Step 2: Convert to fraction form
    72,765/159,057 = 159,057/x
  3. Step 3: Cross multiply
    72,765x = 159,057 × 159,057
  4. Step 4: Simplify right side
    72,765x = 25,299,129,249
  5. Step 5: Solve for x
    x = 25,299,129,249/72,765
  6. Step 6: Final answer
    x = 347,682.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.