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Finding the Third Proportional to 129,763.50 and 281,559

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Solution

The third proportional to 129,763.50 and 281,559 is: 610,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,763.50 : 281,559 = 281,559 : x
  2. Step 2: Convert to fraction form
    129,763.50/281,559 = 281,559/x
  3. Step 3: Cross multiply
    129,763.50x = 281,559 × 281,559
  4. Step 4: Simplify right side
    129,763.50x = 79,275,470,481
  5. Step 5: Solve for x
    x = 79,275,470,481/129,763.50
  6. Step 6: Final answer
    x = 610,922.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.