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Finding the Third Proportional to 82,890 and 125,025

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Solution

The third proportional to 82,890 and 125,025 is: 188,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,890 : 125,025 = 125,025 : x
  2. Step 2: Convert to fraction form
    82,890/125,025 = 125,025/x
  3. Step 3: Cross multiply
    82,890x = 125,025 × 125,025
  4. Step 4: Simplify right side
    82,890x = 15,631,250,625
  5. Step 5: Solve for x
    x = 15,631,250,625/82,890
  6. Step 6: Final answer
    x = 188,578.24

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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.