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Finding the Third Proportional to 95,857 and 145,128

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Solution

The third proportional to 95,857 and 145,128 is: 219,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,857 : 145,128 = 145,128 : x
  2. Step 2: Convert to fraction form
    95,857/145,128 = 145,128/x
  3. Step 3: Cross multiply
    95,857x = 145,128 × 145,128
  4. Step 4: Simplify right side
    95,857x = 21,062,136,384
  5. Step 5: Solve for x
    x = 21,062,136,384/95,857
  6. Step 6: Final answer
    x = 219,724.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.