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Finding the Third Proportional to 71,769 and 146,454

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Solution

The third proportional to 71,769 and 146,454 is: 298,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769 : 146,454 = 146,454 : x
  2. Step 2: Convert to fraction form
    71,769/146,454 = 146,454/x
  3. Step 3: Cross multiply
    71,769x = 146,454 × 146,454
  4. Step 4: Simplify right side
    71,769x = 21,448,774,116
  5. Step 5: Solve for x
    x = 21,448,774,116/71,769
  6. Step 6: Final answer
    x = 298,858.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.