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Finding the Third Proportional to 124,470 and 194,481

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Solution

The third proportional to 124,470 and 194,481 is: 303,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,470 : 194,481 = 194,481 : x
  2. Step 2: Convert to fraction form
    124,470/194,481 = 194,481/x
  3. Step 3: Cross multiply
    124,470x = 194,481 × 194,481
  4. Step 4: Simplify right side
    124,470x = 37,822,859,361
  5. Step 5: Solve for x
    x = 37,822,859,361/124,470
  6. Step 6: Final answer
    x = 303,871.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.