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Finding the Third Proportional to 102,330 and 146,907

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Solution

The third proportional to 102,330 and 146,907 is: 210,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,330 : 146,907 = 146,907 : x
  2. Step 2: Convert to fraction form
    102,330/146,907 = 146,907/x
  3. Step 3: Cross multiply
    102,330x = 146,907 × 146,907
  4. Step 4: Simplify right side
    102,330x = 21,581,666,649
  5. Step 5: Solve for x
    x = 21,581,666,649/102,330
  6. Step 6: Final answer
    x = 210,902.64

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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.