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Finding the Third Proportional to 128,059 and 185,008

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Solution

The third proportional to 128,059 and 185,008 is: 267,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,059 : 185,008 = 185,008 : x
  2. Step 2: Convert to fraction form
    128,059/185,008 = 185,008/x
  3. Step 3: Cross multiply
    128,059x = 185,008 × 185,008
  4. Step 4: Simplify right side
    128,059x = 34,227,960,064
  5. Step 5: Solve for x
    x = 34,227,960,064/128,059
  6. Step 6: Final answer
    x = 267,282.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.