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Finding the Third Proportional to 116,138 and 163,548

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Solution

The third proportional to 116,138 and 163,548 is: 230,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138 : 163,548 = 163,548 : x
  2. Step 2: Convert to fraction form
    116,138/163,548 = 163,548/x
  3. Step 3: Cross multiply
    116,138x = 163,548 × 163,548
  4. Step 4: Simplify right side
    116,138x = 26,747,948,304
  5. Step 5: Solve for x
    x = 26,747,948,304/116,138
  6. Step 6: Final answer
    x = 230,311.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.