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Finding the Third Proportional to 119,009.25 and 163,189.69

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Solution

The third proportional to 119,009.25 and 163,189.69 is: 223,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,009.25 : 163,189.69 = 163,189.69 : x
  2. Step 2: Convert to fraction form
    119,009.25/163,189.69 = 163,189.69/x
  3. Step 3: Cross multiply
    119,009.25x = 163,189.69 × 163,189.69
  4. Step 4: Simplify right side
    119,009.25x = 26,630,874,106.35
  5. Step 5: Solve for x
    x = 26,630,874,106.35/119,009.25
  6. Step 6: Final answer
    x = 223,771.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.