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Finding the Third Proportional to 66,678 and 144,655.50

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Solution

The third proportional to 66,678 and 144,655.50 is: 313,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,678 : 144,655.50 = 144,655.50 : x
  2. Step 2: Convert to fraction form
    66,678/144,655.50 = 144,655.50/x
  3. Step 3: Cross multiply
    66,678x = 144,655.50 × 144,655.50
  4. Step 4: Simplify right side
    66,678x = 20,925,213,680.25
  5. Step 5: Solve for x
    x = 20,925,213,680.25/66,678
  6. Step 6: Final answer
    x = 313,824.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.