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Finding the Third Proportional to 54,424 and 83,252

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Solution

The third proportional to 54,424 and 83,252 is: 127,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,424 : 83,252 = 83,252 : x
  2. Step 2: Convert to fraction form
    54,424/83,252 = 83,252/x
  3. Step 3: Cross multiply
    54,424x = 83,252 × 83,252
  4. Step 4: Simplify right side
    54,424x = 6,930,895,504
  5. Step 5: Solve for x
    x = 6,930,895,504/54,424
  6. Step 6: Final answer
    x = 127,349.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.