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Finding the Third Proportional to 32,454 and 71,652

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Solution

The third proportional to 32,454 and 71,652 is: 158,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 71,652 = 71,652 : x
  2. Step 2: Convert to fraction form
    32,454/71,652 = 71,652/x
  3. Step 3: Cross multiply
    32,454x = 71,652 × 71,652
  4. Step 4: Simplify right side
    32,454x = 5,134,009,104
  5. Step 5: Solve for x
    x = 5,134,009,104/32,454
  6. Step 6: Final answer
    x = 158,193.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.