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Finding the Third Proportional to 118,258 and 140,128

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Solution

The third proportional to 118,258 and 140,128 is: 166,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,258 : 140,128 = 140,128 : x
  2. Step 2: Convert to fraction form
    118,258/140,128 = 140,128/x
  3. Step 3: Cross multiply
    118,258x = 140,128 × 140,128
  4. Step 4: Simplify right side
    118,258x = 19,635,856,384
  5. Step 5: Solve for x
    x = 19,635,856,384/118,258
  6. Step 6: Final answer
    x = 166,042.52

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.