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Finding the Third Proportional to 121,411 and 190,036

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Solution

The third proportional to 121,411 and 190,036 is: 297,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411 : 190,036 = 190,036 : x
  2. Step 2: Convert to fraction form
    121,411/190,036 = 190,036/x
  3. Step 3: Cross multiply
    121,411x = 190,036 × 190,036
  4. Step 4: Simplify right side
    121,411x = 36,113,681,296
  5. Step 5: Solve for x
    x = 36,113,681,296/121,411
  6. Step 6: Final answer
    x = 297,449.83

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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.