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Finding the Third Proportional to 84,035 and 130,105

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Solution

The third proportional to 84,035 and 130,105 is: 201,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,035 : 130,105 = 130,105 : x
  2. Step 2: Convert to fraction form
    84,035/130,105 = 130,105/x
  3. Step 3: Cross multiply
    84,035x = 130,105 × 130,105
  4. Step 4: Simplify right side
    84,035x = 16,927,311,025
  5. Step 5: Solve for x
    x = 16,927,311,025/84,035
  6. Step 6: Final answer
    x = 201,431.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.