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Finding the Third Proportional to 84,912 and 130,932

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Solution

The third proportional to 84,912 and 130,932 is: 201,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912 : 130,932 = 130,932 : x
  2. Step 2: Convert to fraction form
    84,912/130,932 = 130,932/x
  3. Step 3: Cross multiply
    84,912x = 130,932 × 130,932
  4. Step 4: Simplify right side
    84,912x = 17,143,188,624
  5. Step 5: Solve for x
    x = 17,143,188,624/84,912
  6. Step 6: Final answer
    x = 201,893.59

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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.