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Finding the Third Proportional to 66,973.50 and 146,794.50

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Solution

The third proportional to 66,973.50 and 146,794.50 is: 321,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,973.50 : 146,794.50 = 146,794.50 : x
  2. Step 2: Convert to fraction form
    66,973.50/146,794.50 = 146,794.50/x
  3. Step 3: Cross multiply
    66,973.50x = 146,794.50 × 146,794.50
  4. Step 4: Simplify right side
    66,973.50x = 21,548,625,230.25
  5. Step 5: Solve for x
    x = 21,548,625,230.25/66,973.50
  6. Step 6: Final answer
    x = 321,748.53

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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.