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Finding the Third Proportional to 32,372 and 69,242

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Solution

The third proportional to 32,372 and 69,242 is: 148,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372 : 69,242 = 69,242 : x
  2. Step 2: Convert to fraction form
    32,372/69,242 = 69,242/x
  3. Step 3: Cross multiply
    32,372x = 69,242 × 69,242
  4. Step 4: Simplify right side
    32,372x = 4,794,454,564
  5. Step 5: Solve for x
    x = 4,794,454,564/32,372
  6. Step 6: Final answer
    x = 148,104.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.