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Finding the Third Proportional to 79,209.50 and 164,973.75

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Solution

The third proportional to 79,209.50 and 164,973.75 is: 343,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,209.50 : 164,973.75 = 164,973.75 : x
  2. Step 2: Convert to fraction form
    79,209.50/164,973.75 = 164,973.75/x
  3. Step 3: Cross multiply
    79,209.50x = 164,973.75 × 164,973.75
  4. Step 4: Simplify right side
    79,209.50x = 27,216,338,189.06
  5. Step 5: Solve for x
    x = 27,216,338,189.06/79,209.50
  6. Step 6: Final answer
    x = 343,599.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.