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Finding the Third Proportional to 52,905 and 107,177

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Solution

The third proportional to 52,905 and 107,177 is: 217,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,905 : 107,177 = 107,177 : x
  2. Step 2: Convert to fraction form
    52,905/107,177 = 107,177/x
  3. Step 3: Cross multiply
    52,905x = 107,177 × 107,177
  4. Step 4: Simplify right side
    52,905x = 11,486,909,329
  5. Step 5: Solve for x
    x = 11,486,909,329/52,905
  6. Step 6: Final answer
    x = 217,123.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.