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Finding the Third Proportional to 66,232 and 99,969

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Solution

The third proportional to 66,232 and 99,969 is: 150,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,232 : 99,969 = 99,969 : x
  2. Step 2: Convert to fraction form
    66,232/99,969 = 99,969/x
  3. Step 3: Cross multiply
    66,232x = 99,969 × 99,969
  4. Step 4: Simplify right side
    66,232x = 9,993,800,961
  5. Step 5: Solve for x
    x = 9,993,800,961/66,232
  6. Step 6: Final answer
    x = 150,890.82

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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.