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Finding the Third Proportional to 122,736 and 180,076

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Solution

The third proportional to 122,736 and 180,076 is: 264,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,736 : 180,076 = 180,076 : x
  2. Step 2: Convert to fraction form
    122,736/180,076 = 180,076/x
  3. Step 3: Cross multiply
    122,736x = 180,076 × 180,076
  4. Step 4: Simplify right side
    122,736x = 32,427,365,776
  5. Step 5: Solve for x
    x = 32,427,365,776/122,736
  6. Step 6: Final answer
    x = 264,204.19

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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.