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Finding the Third Proportional to 82,518 and 120,249

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Solution

The third proportional to 82,518 and 120,249 is: 175,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,518 : 120,249 = 120,249 : x
  2. Step 2: Convert to fraction form
    82,518/120,249 = 120,249/x
  3. Step 3: Cross multiply
    82,518x = 120,249 × 120,249
  4. Step 4: Simplify right side
    82,518x = 14,459,822,001
  5. Step 5: Solve for x
    x = 14,459,822,001/82,518
  6. Step 6: Final answer
    x = 175,232.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.