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Finding the Third Proportional to 102,873 and 146,826

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Solution

The third proportional to 102,873 and 146,826 is: 209,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,873 : 146,826 = 146,826 : x
  2. Step 2: Convert to fraction form
    102,873/146,826 = 146,826/x
  3. Step 3: Cross multiply
    102,873x = 146,826 × 146,826
  4. Step 4: Simplify right side
    102,873x = 21,557,874,276
  5. Step 5: Solve for x
    x = 21,557,874,276/102,873
  6. Step 6: Final answer
    x = 209,558.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.