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Finding the Third Proportional to 146,202 and 183,012

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Solution

The third proportional to 146,202 and 183,012 is: 229,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,202 : 183,012 = 183,012 : x
  2. Step 2: Convert to fraction form
    146,202/183,012 = 183,012/x
  3. Step 3: Cross multiply
    146,202x = 183,012 × 183,012
  4. Step 4: Simplify right side
    146,202x = 33,493,392,144
  5. Step 5: Solve for x
    x = 33,493,392,144/146,202
  6. Step 6: Final answer
    x = 229,089.84

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.