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Finding the Third Proportional to 126,820.69 and 196,642.69

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Solution

The third proportional to 126,820.69 and 196,642.69 is: 304,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,820.69 : 196,642.69 = 196,642.69 : x
  2. Step 2: Convert to fraction form
    126,820.69/196,642.69 = 196,642.69/x
  3. Step 3: Cross multiply
    126,820.69x = 196,642.69 × 196,642.69
  4. Step 4: Simplify right side
    126,820.69x = 38,668,346,547.22
  5. Step 5: Solve for x
    x = 38,668,346,547.22/126,820.69
  6. Step 6: Final answer
    x = 304,905.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.