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Finding the Third Proportional to 66,966 and 90,948

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Solution

The third proportional to 66,966 and 90,948 is: 123,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966 : 90,948 = 90,948 : x
  2. Step 2: Convert to fraction form
    66,966/90,948 = 90,948/x
  3. Step 3: Cross multiply
    66,966x = 90,948 × 90,948
  4. Step 4: Simplify right side
    66,966x = 8,271,538,704
  5. Step 5: Solve for x
    x = 8,271,538,704/66,966
  6. Step 6: Final answer
    x = 123,518.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.