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Finding the Third Proportional to 48,252 and 104,548.50

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Solution

The third proportional to 48,252 and 104,548.50 is: 226,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,252 : 104,548.50 = 104,548.50 : x
  2. Step 2: Convert to fraction form
    48,252/104,548.50 = 104,548.50/x
  3. Step 3: Cross multiply
    48,252x = 104,548.50 × 104,548.50
  4. Step 4: Simplify right side
    48,252x = 10,930,388,852.25
  5. Step 5: Solve for x
    x = 10,930,388,852.25/48,252
  6. Step 6: Final answer
    x = 226,527.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.