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Finding the Third Proportional to 75,078 and 164,922

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Solution

The third proportional to 75,078 and 164,922 is: 362,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078 : 164,922 = 164,922 : x
  2. Step 2: Convert to fraction form
    75,078/164,922 = 164,922/x
  3. Step 3: Cross multiply
    75,078x = 164,922 × 164,922
  4. Step 4: Simplify right side
    75,078x = 27,199,266,084
  5. Step 5: Solve for x
    x = 27,199,266,084/75,078
  6. Step 6: Final answer
    x = 362,280.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.