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Finding the Third Proportional to 45,326 and 100,048

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Solution

The third proportional to 45,326 and 100,048 is: 220,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326 : 100,048 = 100,048 : x
  2. Step 2: Convert to fraction form
    45,326/100,048 = 100,048/x
  3. Step 3: Cross multiply
    45,326x = 100,048 × 100,048
  4. Step 4: Simplify right side
    45,326x = 10,009,602,304
  5. Step 5: Solve for x
    x = 10,009,602,304/45,326
  6. Step 6: Final answer
    x = 220,835.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.