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Finding the Third Proportional to 140,111.44 and 223,053.75

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Solution

The third proportional to 140,111.44 and 223,053.75 is: 355,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,111.44 : 223,053.75 = 223,053.75 : x
  2. Step 2: Convert to fraction form
    140,111.44/223,053.75 = 223,053.75/x
  3. Step 3: Cross multiply
    140,111.44x = 223,053.75 × 223,053.75
  4. Step 4: Simplify right side
    140,111.44x = 49,752,975,389.06
  5. Step 5: Solve for x
    x = 49,752,975,389.06/140,111.44
  6. Step 6: Final answer
    x = 355,095.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.