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Finding the Third Proportional to 98,284 and 147,271

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Solution

The third proportional to 98,284 and 147,271 is: 220,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,284 : 147,271 = 147,271 : x
  2. Step 2: Convert to fraction form
    98,284/147,271 = 147,271/x
  3. Step 3: Cross multiply
    98,284x = 147,271 × 147,271
  4. Step 4: Simplify right side
    98,284x = 21,688,747,441
  5. Step 5: Solve for x
    x = 21,688,747,441/98,284
  6. Step 6: Final answer
    x = 220,674.24

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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.