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Finding the Third Proportional to 69,441 and 144,334.50

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Solution

The third proportional to 69,441 and 144,334.50 is: 300,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,441 : 144,334.50 = 144,334.50 : x
  2. Step 2: Convert to fraction form
    69,441/144,334.50 = 144,334.50/x
  3. Step 3: Cross multiply
    69,441x = 144,334.50 × 144,334.50
  4. Step 4: Simplify right side
    69,441x = 20,832,447,890.25
  5. Step 5: Solve for x
    x = 20,832,447,890.25/69,441
  6. Step 6: Final answer
    x = 300,002.13

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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.