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Finding the Third Proportional to 75,838 and 163,123

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Solution

The third proportional to 75,838 and 163,123 is: 350,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,838 : 163,123 = 163,123 : x
  2. Step 2: Convert to fraction form
    75,838/163,123 = 163,123/x
  3. Step 3: Cross multiply
    75,838x = 163,123 × 163,123
  4. Step 4: Simplify right side
    75,838x = 26,609,113,129
  5. Step 5: Solve for x
    x = 26,609,113,129/75,838
  6. Step 6: Final answer
    x = 350,867.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.