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Finding the Third Proportional to 122,795 and 183,434

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Solution

The third proportional to 122,795 and 183,434 is: 274,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,795 : 183,434 = 183,434 : x
  2. Step 2: Convert to fraction form
    122,795/183,434 = 183,434/x
  3. Step 3: Cross multiply
    122,795x = 183,434 × 183,434
  4. Step 4: Simplify right side
    122,795x = 33,648,032,356
  5. Step 5: Solve for x
    x = 33,648,032,356/122,795
  6. Step 6: Final answer
    x = 274,017.94

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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.