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Finding the Third Proportional to 96,638 and 144,507

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Solution

The third proportional to 96,638 and 144,507 is: 216,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638 : 144,507 = 144,507 : x
  2. Step 2: Convert to fraction form
    96,638/144,507 = 144,507/x
  3. Step 3: Cross multiply
    96,638x = 144,507 × 144,507
  4. Step 4: Simplify right side
    96,638x = 20,882,273,049
  5. Step 5: Solve for x
    x = 20,882,273,049/96,638
  6. Step 6: Final answer
    x = 216,087.60

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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.