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Finding the Third Proportional to 122,844 and 180,237

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Solution

The third proportional to 122,844 and 180,237 is: 264,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,844 : 180,237 = 180,237 : x
  2. Step 2: Convert to fraction form
    122,844/180,237 = 180,237/x
  3. Step 3: Cross multiply
    122,844x = 180,237 × 180,237
  4. Step 4: Simplify right side
    122,844x = 32,485,376,169
  5. Step 5: Solve for x
    x = 32,485,376,169/122,844
  6. Step 6: Final answer
    x = 264,444.14

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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.