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Finding the Third Proportional to 122,908 and 183,579

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Solution

The third proportional to 122,908 and 183,579 is: 274,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,908 : 183,579 = 183,579 : x
  2. Step 2: Convert to fraction form
    122,908/183,579 = 183,579/x
  3. Step 3: Cross multiply
    122,908x = 183,579 × 183,579
  4. Step 4: Simplify right side
    122,908x = 33,701,249,241
  5. Step 5: Solve for x
    x = 33,701,249,241/122,908
  6. Step 6: Final answer
    x = 274,198.99

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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.