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Finding the Third Proportional to 75,332 and 164,171

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Solution

The third proportional to 75,332 and 164,171 is: 357,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,332 : 164,171 = 164,171 : x
  2. Step 2: Convert to fraction form
    75,332/164,171 = 164,171/x
  3. Step 3: Cross multiply
    75,332x = 164,171 × 164,171
  4. Step 4: Simplify right side
    75,332x = 26,952,117,241
  5. Step 5: Solve for x
    x = 26,952,117,241/75,332
  6. Step 6: Final answer
    x = 357,777.80

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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.