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Finding the Third Proportional to 108,027 and 163,533.09

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Solution

The third proportional to 108,027 and 163,533.09 is: 247,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,027 : 163,533.09 = 163,533.09 : x
  2. Step 2: Convert to fraction form
    108,027/163,533.09 = 163,533.09/x
  3. Step 3: Cross multiply
    108,027x = 163,533.09 × 163,533.09
  4. Step 4: Simplify right side
    108,027x = 26,743,072,751.45
  5. Step 5: Solve for x
    x = 26,743,072,751.45/108,027
  6. Step 6: Final answer
    x = 247,559.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.