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Finding the Third Proportional to 122,973 and 180,084

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Solution

The third proportional to 122,973 and 180,084 is: 263,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,973 : 180,084 = 180,084 : x
  2. Step 2: Convert to fraction form
    122,973/180,084 = 180,084/x
  3. Step 3: Cross multiply
    122,973x = 180,084 × 180,084
  4. Step 4: Simplify right side
    122,973x = 32,430,247,056
  5. Step 5: Solve for x
    x = 32,430,247,056/122,973
  6. Step 6: Final answer
    x = 263,718.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.