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Finding the Third Proportional to 129,864 and 270,118.50

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Solution

The third proportional to 129,864 and 270,118.50 is: 561,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,864 : 270,118.50 = 270,118.50 : x
  2. Step 2: Convert to fraction form
    129,864/270,118.50 = 270,118.50/x
  3. Step 3: Cross multiply
    129,864x = 270,118.50 × 270,118.50
  4. Step 4: Simplify right side
    129,864x = 72,964,004,042.25
  5. Step 5: Solve for x
    x = 72,964,004,042.25/129,864
  6. Step 6: Final answer
    x = 561,849.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.