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Finding the Third Proportional to 80,948 and 121,962

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Solution

The third proportional to 80,948 and 121,962 is: 183,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,948 : 121,962 = 121,962 : x
  2. Step 2: Convert to fraction form
    80,948/121,962 = 121,962/x
  3. Step 3: Cross multiply
    80,948x = 121,962 × 121,962
  4. Step 4: Simplify right side
    80,948x = 14,874,729,444
  5. Step 5: Solve for x
    x = 14,874,729,444/80,948
  6. Step 6: Final answer
    x = 183,756.60

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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.