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Finding the Third Proportional to 96,765 and 212,607

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Solution

The third proportional to 96,765 and 212,607 is: 467,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,765 : 212,607 = 212,607 : x
  2. Step 2: Convert to fraction form
    96,765/212,607 = 212,607/x
  3. Step 3: Cross multiply
    96,765x = 212,607 × 212,607
  4. Step 4: Simplify right side
    96,765x = 45,201,736,449
  5. Step 5: Solve for x
    x = 45,201,736,449/96,765
  6. Step 6: Final answer
    x = 467,128.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.