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Finding the Third Proportional to 66,974 and 90,960

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Solution

The third proportional to 66,974 and 90,960 is: 123,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,974 : 90,960 = 90,960 : x
  2. Step 2: Convert to fraction form
    66,974/90,960 = 90,960/x
  3. Step 3: Cross multiply
    66,974x = 90,960 × 90,960
  4. Step 4: Simplify right side
    66,974x = 8,273,721,600
  5. Step 5: Solve for x
    x = 8,273,721,600/66,974
  6. Step 6: Final answer
    x = 123,536.32

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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.