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Finding the Third Proportional to 105,054.75 and 224,871.75

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Solution

The third proportional to 105,054.75 and 224,871.75 is: 481,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,054.75 : 224,871.75 = 224,871.75 : x
  2. Step 2: Convert to fraction form
    105,054.75/224,871.75 = 224,871.75/x
  3. Step 3: Cross multiply
    105,054.75x = 224,871.75 × 224,871.75
  4. Step 4: Simplify right side
    105,054.75x = 50,567,303,948.06
  5. Step 5: Solve for x
    x = 50,567,303,948.06/105,054.75
  6. Step 6: Final answer
    x = 481,342.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.