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Finding the Third Proportional to 96,934.75 and 145,504.50

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Solution

The third proportional to 96,934.75 and 145,504.50 is: 218,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,934.75 : 145,504.50 = 145,504.50 : x
  2. Step 2: Convert to fraction form
    96,934.75/145,504.50 = 145,504.50/x
  3. Step 3: Cross multiply
    96,934.75x = 145,504.50 × 145,504.50
  4. Step 4: Simplify right side
    96,934.75x = 21,171,559,520.25
  5. Step 5: Solve for x
    x = 21,171,559,520.25/96,934.75
  6. Step 6: Final answer
    x = 218,410.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.