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Finding the Third Proportional to 32,200 and 75,224

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Solution

The third proportional to 32,200 and 75,224 is: 175,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200 : 75,224 = 75,224 : x
  2. Step 2: Convert to fraction form
    32,200/75,224 = 75,224/x
  3. Step 3: Cross multiply
    32,200x = 75,224 × 75,224
  4. Step 4: Simplify right side
    32,200x = 5,658,650,176
  5. Step 5: Solve for x
    x = 5,658,650,176/32,200
  6. Step 6: Final answer
    x = 175,734.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.