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Finding the Third Proportional to 66,933 and 96,498

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Solution

The third proportional to 66,933 and 96,498 is: 139,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,933 : 96,498 = 96,498 : x
  2. Step 2: Convert to fraction form
    66,933/96,498 = 96,498/x
  3. Step 3: Cross multiply
    66,933x = 96,498 × 96,498
  4. Step 4: Simplify right side
    66,933x = 9,311,864,004
  5. Step 5: Solve for x
    x = 9,311,864,004/66,933
  6. Step 6: Final answer
    x = 139,122.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.