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Finding the Third Proportional to 32,454 and 75,195

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Solution

The third proportional to 32,454 and 75,195 is: 174,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 75,195 = 75,195 : x
  2. Step 2: Convert to fraction form
    32,454/75,195 = 75,195/x
  3. Step 3: Cross multiply
    32,454x = 75,195 × 75,195
  4. Step 4: Simplify right side
    32,454x = 5,654,288,025
  5. Step 5: Solve for x
    x = 5,654,288,025/32,454
  6. Step 6: Final answer
    x = 174,224.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.