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Finding the Third Proportional to 75,109.50 and 164,299.50

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Solution

The third proportional to 75,109.50 and 164,299.50 is: 359,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109.50 : 164,299.50 = 164,299.50 : x
  2. Step 2: Convert to fraction form
    75,109.50/164,299.50 = 164,299.50/x
  3. Step 3: Cross multiply
    75,109.50x = 164,299.50 × 164,299.50
  4. Step 4: Simplify right side
    75,109.50x = 26,994,325,700.25
  5. Step 5: Solve for x
    x = 26,994,325,700.25/75,109.50
  6. Step 6: Final answer
    x = 359,399.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.