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Finding the Third Proportional to 127,968 and 193,712

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Solution

The third proportional to 127,968 and 193,712 is: 293,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,968 : 193,712 = 193,712 : x
  2. Step 2: Convert to fraction form
    127,968/193,712 = 193,712/x
  3. Step 3: Cross multiply
    127,968x = 193,712 × 193,712
  4. Step 4: Simplify right side
    127,968x = 37,524,338,944
  5. Step 5: Solve for x
    x = 37,524,338,944/127,968
  6. Step 6: Final answer
    x = 293,232.21

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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.