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Finding the Third Proportional to 84,852 and 128,350

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Solution

The third proportional to 84,852 and 128,350 is: 194,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,852 : 128,350 = 128,350 : x
  2. Step 2: Convert to fraction form
    84,852/128,350 = 128,350/x
  3. Step 3: Cross multiply
    84,852x = 128,350 × 128,350
  4. Step 4: Simplify right side
    84,852x = 16,473,722,500
  5. Step 5: Solve for x
    x = 16,473,722,500/84,852
  6. Step 6: Final answer
    x = 194,146.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.