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Finding the Third Proportional to 142,212 and 190,836

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Solution

The third proportional to 142,212 and 190,836 is: 256,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,212 : 190,836 = 190,836 : x
  2. Step 2: Convert to fraction form
    142,212/190,836 = 190,836/x
  3. Step 3: Cross multiply
    142,212x = 190,836 × 190,836
  4. Step 4: Simplify right side
    142,212x = 36,418,378,896
  5. Step 5: Solve for x
    x = 36,418,378,896/142,212
  6. Step 6: Final answer
    x = 256,085.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.