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Finding the Third Proportional to 121,042.69 and 247,429.69

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Solution

The third proportional to 121,042.69 and 247,429.69 is: 505,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,042.69 : 247,429.69 = 247,429.69 : x
  2. Step 2: Convert to fraction form
    121,042.69/247,429.69 = 247,429.69/x
  3. Step 3: Cross multiply
    121,042.69x = 247,429.69 × 247,429.69
  4. Step 4: Simplify right side
    121,042.69x = 61,221,450,256.35
  5. Step 5: Solve for x
    x = 61,221,450,256.35/121,042.69
  6. Step 6: Final answer
    x = 505,783.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.