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Finding the Third Proportional to 54,212 and 83,444

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Solution

The third proportional to 54,212 and 83,444 is: 128,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,212 : 83,444 = 83,444 : x
  2. Step 2: Convert to fraction form
    54,212/83,444 = 83,444/x
  3. Step 3: Cross multiply
    54,212x = 83,444 × 83,444
  4. Step 4: Simplify right side
    54,212x = 6,962,901,136
  5. Step 5: Solve for x
    x = 6,962,901,136/54,212
  6. Step 6: Final answer
    x = 128,438.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.