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Finding the Third Proportional to 32,544 and 70,069

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Solution

The third proportional to 32,544 and 70,069 is: 150,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544 : 70,069 = 70,069 : x
  2. Step 2: Convert to fraction form
    32,544/70,069 = 70,069/x
  3. Step 3: Cross multiply
    32,544x = 70,069 × 70,069
  4. Step 4: Simplify right side
    32,544x = 4,909,664,761
  5. Step 5: Solve for x
    x = 4,909,664,761/32,544
  6. Step 6: Final answer
    x = 150,862.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.