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Finding the Third Proportional to 129,981 and 270,154.50

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Solution

The third proportional to 129,981 and 270,154.50 is: 561,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,981 : 270,154.50 = 270,154.50 : x
  2. Step 2: Convert to fraction form
    129,981/270,154.50 = 270,154.50/x
  3. Step 3: Cross multiply
    129,981x = 270,154.50 × 270,154.50
  4. Step 4: Simplify right side
    129,981x = 72,983,453,870.25
  5. Step 5: Solve for x
    x = 72,983,453,870.25/129,981
  6. Step 6: Final answer
    x = 561,493.25

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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.