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Finding the Third Proportional to 121,434.19 and 190,081.69

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Solution

The third proportional to 121,434.19 and 190,081.69 is: 297,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,434.19 : 190,081.69 = 190,081.69 : x
  2. Step 2: Convert to fraction form
    121,434.19/190,081.69 = 190,081.69/x
  3. Step 3: Cross multiply
    121,434.19x = 190,081.69 × 190,081.69
  4. Step 4: Simplify right side
    121,434.19x = 36,131,047,922.85
  5. Step 5: Solve for x
    x = 36,131,047,922.85/121,434.19
  6. Step 6: Final answer
    x = 297,536.05

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