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Finding the Third Proportional to 75,216 and 168,252

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Solution

The third proportional to 75,216 and 168,252 is: 376,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216 : 168,252 = 168,252 : x
  2. Step 2: Convert to fraction form
    75,216/168,252 = 168,252/x
  3. Step 3: Cross multiply
    75,216x = 168,252 × 168,252
  4. Step 4: Simplify right side
    75,216x = 28,308,735,504
  5. Step 5: Solve for x
    x = 28,308,735,504/75,216
  6. Step 6: Final answer
    x = 376,365.87

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.