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Finding the Third Proportional to 45,584 and 104,600

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Solution

The third proportional to 45,584 and 104,600 is: 240,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,584 : 104,600 = 104,600 : x
  2. Step 2: Convert to fraction form
    45,584/104,600 = 104,600/x
  3. Step 3: Cross multiply
    45,584x = 104,600 × 104,600
  4. Step 4: Simplify right side
    45,584x = 10,941,160,000
  5. Step 5: Solve for x
    x = 10,941,160,000/45,584
  6. Step 6: Final answer
    x = 240,021.94

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.