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Finding the Third Proportional to 45,584 and 96,152

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Solution

The third proportional to 45,584 and 96,152 is: 202,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,584 : 96,152 = 96,152 : x
  2. Step 2: Convert to fraction form
    45,584/96,152 = 96,152/x
  3. Step 3: Cross multiply
    45,584x = 96,152 × 96,152
  4. Step 4: Simplify right side
    45,584x = 9,245,207,104
  5. Step 5: Solve for x
    x = 9,245,207,104/45,584
  6. Step 6: Final answer
    x = 202,816.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.