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Finding the Third Proportional to 75,273.75 and 163,669.50

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Solution

The third proportional to 75,273.75 and 163,669.50 is: 355,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,273.75 : 163,669.50 = 163,669.50 : x
  2. Step 2: Convert to fraction form
    75,273.75/163,669.50 = 163,669.50/x
  3. Step 3: Cross multiply
    75,273.75x = 163,669.50 × 163,669.50
  4. Step 4: Simplify right side
    75,273.75x = 26,787,705,230.25
  5. Step 5: Solve for x
    x = 26,787,705,230.25/75,273.75
  6. Step 6: Final answer
    x = 355,870.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.