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Finding the Third Proportional to 75,633.75 and 164,531.25

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Solution

The third proportional to 75,633.75 and 164,531.25 is: 357,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,633.75 : 164,531.25 = 164,531.25 : x
  2. Step 2: Convert to fraction form
    75,633.75/164,531.25 = 164,531.25/x
  3. Step 3: Cross multiply
    75,633.75x = 164,531.25 × 164,531.25
  4. Step 4: Simplify right side
    75,633.75x = 27,070,532,226.56
  5. Step 5: Solve for x
    x = 27,070,532,226.56/75,633.75
  6. Step 6: Final answer
    x = 357,916.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.