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Finding the Third Proportional to 54,442 and 83,283

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Solution

The third proportional to 54,442 and 83,283 is: 127,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,442 : 83,283 = 83,283 : x
  2. Step 2: Convert to fraction form
    54,442/83,283 = 83,283/x
  3. Step 3: Cross multiply
    54,442x = 83,283 × 83,283
  4. Step 4: Simplify right side
    54,442x = 6,936,058,089
  5. Step 5: Solve for x
    x = 6,936,058,089/54,442
  6. Step 6: Final answer
    x = 127,402.71

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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.