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Finding the Third Proportional to 127,548 and 196,182

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Solution

The third proportional to 127,548 and 196,182 is: 301,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,548 : 196,182 = 196,182 : x
  2. Step 2: Convert to fraction form
    127,548/196,182 = 196,182/x
  3. Step 3: Cross multiply
    127,548x = 196,182 × 196,182
  4. Step 4: Simplify right side
    127,548x = 38,487,377,124
  5. Step 5: Solve for x
    x = 38,487,377,124/127,548
  6. Step 6: Final answer
    x = 301,748.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.