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Finding the Third Proportional to 66,152 and 99,824

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Solution

The third proportional to 66,152 and 99,824 is: 150,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,152 : 99,824 = 99,824 : x
  2. Step 2: Convert to fraction form
    66,152/99,824 = 99,824/x
  3. Step 3: Cross multiply
    66,152x = 99,824 × 99,824
  4. Step 4: Simplify right side
    66,152x = 9,964,830,976
  5. Step 5: Solve for x
    x = 9,964,830,976/66,152
  6. Step 6: Final answer
    x = 150,635.37

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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.