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Finding the Third Proportional to 75,772 and 164,844

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Solution

The third proportional to 75,772 and 164,844 is: 358,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,772 : 164,844 = 164,844 : x
  2. Step 2: Convert to fraction form
    75,772/164,844 = 164,844/x
  3. Step 3: Cross multiply
    75,772x = 164,844 × 164,844
  4. Step 4: Simplify right side
    75,772x = 27,173,544,336
  5. Step 5: Solve for x
    x = 27,173,544,336/75,772
  6. Step 6: Final answer
    x = 358,622.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.