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Finding the Third Proportional to 96,934.50 and 142,206.75

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Solution

The third proportional to 96,934.50 and 142,206.75 is: 208,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,934.50 : 142,206.75 = 142,206.75 : x
  2. Step 2: Convert to fraction form
    96,934.50/142,206.75 = 142,206.75/x
  3. Step 3: Cross multiply
    96,934.50x = 142,206.75 × 142,206.75
  4. Step 4: Simplify right side
    96,934.50x = 20,222,759,745.56
  5. Step 5: Solve for x
    x = 20,222,759,745.56/96,934.50
  6. Step 6: Final answer
    x = 208,622.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.