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Finding the Third Proportional to 122,796 and 180,738

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Solution

The third proportional to 122,796 and 180,738 is: 266,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796 : 180,738 = 180,738 : x
  2. Step 2: Convert to fraction form
    122,796/180,738 = 180,738/x
  3. Step 3: Cross multiply
    122,796x = 180,738 × 180,738
  4. Step 4: Simplify right side
    122,796x = 32,666,224,644
  5. Step 5: Solve for x
    x = 32,666,224,644/122,796
  6. Step 6: Final answer
    x = 266,020.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.