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Finding the Third Proportional to 127,440 and 191,208

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Solution

The third proportional to 127,440 and 191,208 is: 286,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,440 : 191,208 = 191,208 : x
  2. Step 2: Convert to fraction form
    127,440/191,208 = 191,208/x
  3. Step 3: Cross multiply
    127,440x = 191,208 × 191,208
  4. Step 4: Simplify right side
    127,440x = 36,560,499,264
  5. Step 5: Solve for x
    x = 36,560,499,264/127,440
  6. Step 6: Final answer
    x = 286,884.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.