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Finding the Third Proportional to 98,286 and 147,273

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Solution

The third proportional to 98,286 and 147,273 is: 220,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286 : 147,273 = 147,273 : x
  2. Step 2: Convert to fraction form
    98,286/147,273 = 147,273/x
  3. Step 3: Cross multiply
    98,286x = 147,273 × 147,273
  4. Step 4: Simplify right side
    98,286x = 21,689,336,529
  5. Step 5: Solve for x
    x = 21,689,336,529/98,286
  6. Step 6: Final answer
    x = 220,675.75

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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.