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Finding the Third Proportional to 118,966 and 163,128

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Solution

The third proportional to 118,966 and 163,128 is: 223,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,966 : 163,128 = 163,128 : x
  2. Step 2: Convert to fraction form
    118,966/163,128 = 163,128/x
  3. Step 3: Cross multiply
    118,966x = 163,128 × 163,128
  4. Step 4: Simplify right side
    118,966x = 26,610,744,384
  5. Step 5: Solve for x
    x = 26,610,744,384/118,966
  6. Step 6: Final answer
    x = 223,683.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.