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Finding the Third Proportional to 102,006 and 146,943

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Solution

The third proportional to 102,006 and 146,943 is: 211,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006 : 146,943 = 146,943 : x
  2. Step 2: Convert to fraction form
    102,006/146,943 = 146,943/x
  3. Step 3: Cross multiply
    102,006x = 146,943 × 146,943
  4. Step 4: Simplify right side
    102,006x = 21,592,245,249
  5. Step 5: Solve for x
    x = 21,592,245,249/102,006
  6. Step 6: Final answer
    x = 211,676.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.