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Finding the Third Proportional to 96,648.75 and 145,152

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Solution

The third proportional to 96,648.75 and 145,152 is: 217,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648.75 : 145,152 = 145,152 : x
  2. Step 2: Convert to fraction form
    96,648.75/145,152 = 145,152/x
  3. Step 3: Cross multiply
    96,648.75x = 145,152 × 145,152
  4. Step 4: Simplify right side
    96,648.75x = 21,069,103,104
  5. Step 5: Solve for x
    x = 21,069,103,104/96,648.75
  6. Step 6: Final answer
    x = 217,996.64

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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.