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Finding the Third Proportional to 96,774.75 and 147,280.78

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Solution

The third proportional to 96,774.75 and 147,280.78 is: 224,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774.75 : 147,280.78 = 147,280.78 : x
  2. Step 2: Convert to fraction form
    96,774.75/147,280.78 = 147,280.78/x
  3. Step 3: Cross multiply
    96,774.75x = 147,280.78 × 147,280.78
  4. Step 4: Simplify right side
    96,774.75x = 21,691,628,525.61
  5. Step 5: Solve for x
    x = 21,691,628,525.61/96,774.75
  6. Step 6: Final answer
    x = 224,145.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.