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Finding the Third Proportional to 96,852 and 145,273

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Solution

The third proportional to 96,852 and 145,273 is: 217,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852 : 145,273 = 145,273 : x
  2. Step 2: Convert to fraction form
    96,852/145,273 = 145,273/x
  3. Step 3: Cross multiply
    96,852x = 145,273 × 145,273
  4. Step 4: Simplify right side
    96,852x = 21,104,244,529
  5. Step 5: Solve for x
    x = 21,104,244,529/96,852
  6. Step 6: Final answer
    x = 217,902.00

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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.