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Finding the Third Proportional to 75,070 and 164,908

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Solution

The third proportional to 75,070 and 164,908 is: 362,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,070 : 164,908 = 164,908 : x
  2. Step 2: Convert to fraction form
    75,070/164,908 = 164,908/x
  3. Step 3: Cross multiply
    75,070x = 164,908 × 164,908
  4. Step 4: Simplify right side
    75,070x = 27,194,648,464
  5. Step 5: Solve for x
    x = 27,194,648,464/75,070
  6. Step 6: Final answer
    x = 362,257.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.