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Finding the Third Proportional to 66,109.50 and 146,934

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Solution

The third proportional to 66,109.50 and 146,934 is: 326,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,109.50 : 146,934 = 146,934 : x
  2. Step 2: Convert to fraction form
    66,109.50/146,934 = 146,934/x
  3. Step 3: Cross multiply
    66,109.50x = 146,934 × 146,934
  4. Step 4: Simplify right side
    66,109.50x = 21,589,600,356
  5. Step 5: Solve for x
    x = 21,589,600,356/66,109.50
  6. Step 6: Final answer
    x = 326,573.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.