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Finding the Third Proportional to 106,074 and 223,053.75

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Solution

The third proportional to 106,074 and 223,053.75 is: 469,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,074 : 223,053.75 = 223,053.75 : x
  2. Step 2: Convert to fraction form
    106,074/223,053.75 = 223,053.75/x
  3. Step 3: Cross multiply
    106,074x = 223,053.75 × 223,053.75
  4. Step 4: Simplify right side
    106,074x = 49,752,975,389.06
  5. Step 5: Solve for x
    x = 49,752,975,389.06/106,074
  6. Step 6: Final answer
    x = 469,040.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.