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Finding the Third Proportional to 84,444 and 113,682

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Solution

The third proportional to 84,444 and 113,682 is: 153,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,444 : 113,682 = 113,682 : x
  2. Step 2: Convert to fraction form
    84,444/113,682 = 113,682/x
  3. Step 3: Cross multiply
    84,444x = 113,682 × 113,682
  4. Step 4: Simplify right side
    84,444x = 12,923,597,124
  5. Step 5: Solve for x
    x = 12,923,597,124/84,444
  6. Step 6: Final answer
    x = 153,043.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.