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Finding the Third Proportional to 121,282 and 190,834

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Solution

The third proportional to 121,282 and 190,834 is: 300,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,282 : 190,834 = 190,834 : x
  2. Step 2: Convert to fraction form
    121,282/190,834 = 190,834/x
  3. Step 3: Cross multiply
    121,282x = 190,834 × 190,834
  4. Step 4: Simplify right side
    121,282x = 36,417,615,556
  5. Step 5: Solve for x
    x = 36,417,615,556/121,282
  6. Step 6: Final answer
    x = 300,272.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.