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Finding the Third Proportional to 98,361 and 147,393

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Solution

The third proportional to 98,361 and 147,393 is: 220,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,361 : 147,393 = 147,393 : x
  2. Step 2: Convert to fraction form
    98,361/147,393 = 147,393/x
  3. Step 3: Cross multiply
    98,361x = 147,393 × 147,393
  4. Step 4: Simplify right side
    98,361x = 21,724,696,449
  5. Step 5: Solve for x
    x = 21,724,696,449/98,361
  6. Step 6: Final answer
    x = 220,866.97

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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.