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Finding the Third Proportional to 103,629 and 158,450.25

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Solution

The third proportional to 103,629 and 158,450.25 is: 242,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 158,450.25 = 158,450.25 : x
  2. Step 2: Convert to fraction form
    103,629/158,450.25 = 158,450.25/x
  3. Step 3: Cross multiply
    103,629x = 158,450.25 × 158,450.25
  4. Step 4: Simplify right side
    103,629x = 25,106,481,725.06
  5. Step 5: Solve for x
    x = 25,106,481,725.06/103,629
  6. Step 6: Final answer
    x = 242,272.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.