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Finding the Third Proportional to 75,718 and 164,692

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Solution

The third proportional to 75,718 and 164,692 is: 358,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718 : 164,692 = 164,692 : x
  2. Step 2: Convert to fraction form
    75,718/164,692 = 164,692/x
  3. Step 3: Cross multiply
    75,718x = 164,692 × 164,692
  4. Step 4: Simplify right side
    75,718x = 27,123,454,864
  5. Step 5: Solve for x
    x = 27,123,454,864/75,718
  6. Step 6: Final answer
    x = 358,216.74

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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.