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Finding the Third Proportional to 32,144 and 66,752

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Solution

The third proportional to 32,144 and 66,752 is: 138,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144 : 66,752 = 66,752 : x
  2. Step 2: Convert to fraction form
    32,144/66,752 = 66,752/x
  3. Step 3: Cross multiply
    32,144x = 66,752 × 66,752
  4. Step 4: Simplify right side
    32,144x = 4,455,829,504
  5. Step 5: Solve for x
    x = 4,455,829,504/32,144
  6. Step 6: Final answer
    x = 138,620.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.