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Finding the Third Proportional to 48,415 and 104,476

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Solution

The third proportional to 48,415 and 104,476 is: 225,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,415 : 104,476 = 104,476 : x
  2. Step 2: Convert to fraction form
    48,415/104,476 = 104,476/x
  3. Step 3: Cross multiply
    48,415x = 104,476 × 104,476
  4. Step 4: Simplify right side
    48,415x = 10,915,234,576
  5. Step 5: Solve for x
    x = 10,915,234,576/48,415
  6. Step 6: Final answer
    x = 225,451.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.