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Finding the Third Proportional to 122,877 and 183,546

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Solution

The third proportional to 122,877 and 183,546 is: 274,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,877 : 183,546 = 183,546 : x
  2. Step 2: Convert to fraction form
    122,877/183,546 = 183,546/x
  3. Step 3: Cross multiply
    122,877x = 183,546 × 183,546
  4. Step 4: Simplify right side
    122,877x = 33,689,134,116
  5. Step 5: Solve for x
    x = 33,689,134,116/122,877
  6. Step 6: Final answer
    x = 274,169.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.