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Finding the Third Proportional to 96,336 and 143,672

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Solution

The third proportional to 96,336 and 143,672 is: 214,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,336 : 143,672 = 143,672 : x
  2. Step 2: Convert to fraction form
    96,336/143,672 = 143,672/x
  3. Step 3: Cross multiply
    96,336x = 143,672 × 143,672
  4. Step 4: Simplify right side
    96,336x = 20,641,643,584
  5. Step 5: Solve for x
    x = 20,641,643,584/96,336
  6. Step 6: Final answer
    x = 214,267.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.