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Finding the Third Proportional to 96,456 and 150,207

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Solution

The third proportional to 96,456 and 150,207 is: 233,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,456 : 150,207 = 150,207 : x
  2. Step 2: Convert to fraction form
    96,456/150,207 = 150,207/x
  3. Step 3: Cross multiply
    96,456x = 150,207 × 150,207
  4. Step 4: Simplify right side
    96,456x = 22,562,142,849
  5. Step 5: Solve for x
    x = 22,562,142,849/96,456
  6. Step 6: Final answer
    x = 233,911.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.