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Finding the Third Proportional to 54,596 and 83,462

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Solution

The third proportional to 54,596 and 83,462 is: 127,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596 : 83,462 = 83,462 : x
  2. Step 2: Convert to fraction form
    54,596/83,462 = 83,462/x
  3. Step 3: Cross multiply
    54,596x = 83,462 × 83,462
  4. Step 4: Simplify right side
    54,596x = 6,965,905,444
  5. Step 5: Solve for x
    x = 6,965,905,444/54,596
  6. Step 6: Final answer
    x = 127,590.03

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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.