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Finding the Third Proportional to 129,797 and 189,767.50

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Solution

The third proportional to 129,797 and 189,767.50 is: 277,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797 : 189,767.50 = 189,767.50 : x
  2. Step 2: Convert to fraction form
    129,797/189,767.50 = 189,767.50/x
  3. Step 3: Cross multiply
    129,797x = 189,767.50 × 189,767.50
  4. Step 4: Simplify right side
    129,797x = 36,011,704,056.25
  5. Step 5: Solve for x
    x = 36,011,704,056.25/129,797
  6. Step 6: Final answer
    x = 277,446.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.