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Finding the Third Proportional to 98,094 and 147,441

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Solution

The third proportional to 98,094 and 147,441 is: 221,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,094 : 147,441 = 147,441 : x
  2. Step 2: Convert to fraction form
    98,094/147,441 = 147,441/x
  3. Step 3: Cross multiply
    98,094x = 147,441 × 147,441
  4. Step 4: Simplify right side
    98,094x = 21,738,848,481
  5. Step 5: Solve for x
    x = 21,738,848,481/98,094
  6. Step 6: Final answer
    x = 221,612.42

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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.