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Finding the Third Proportional to 103,471 and 162,421

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Solution

The third proportional to 103,471 and 162,421 is: 254,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,471 : 162,421 = 162,421 : x
  2. Step 2: Convert to fraction form
    103,471/162,421 = 162,421/x
  3. Step 3: Cross multiply
    103,471x = 162,421 × 162,421
  4. Step 4: Simplify right side
    103,471x = 26,380,581,241
  5. Step 5: Solve for x
    x = 26,380,581,241/103,471
  6. Step 6: Final answer
    x = 254,956.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.