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Finding the Third Proportional to 127,376 and 196,412

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Solution

The third proportional to 127,376 and 196,412 is: 302,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,376 : 196,412 = 196,412 : x
  2. Step 2: Convert to fraction form
    127,376/196,412 = 196,412/x
  3. Step 3: Cross multiply
    127,376x = 196,412 × 196,412
  4. Step 4: Simplify right side
    127,376x = 38,577,673,744
  5. Step 5: Solve for x
    x = 38,577,673,744/127,376
  6. Step 6: Final answer
    x = 302,864.54

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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.