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Finding the Third Proportional to 66,940.50 and 144,901

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Solution

The third proportional to 66,940.50 and 144,901 is: 313,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,940.50 : 144,901 = 144,901 : x
  2. Step 2: Convert to fraction form
    66,940.50/144,901 = 144,901/x
  3. Step 3: Cross multiply
    66,940.50x = 144,901 × 144,901
  4. Step 4: Simplify right side
    66,940.50x = 20,996,299,801
  5. Step 5: Solve for x
    x = 20,996,299,801/66,940.50
  6. Step 6: Final answer
    x = 313,656.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.