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Finding the Third Proportional to 79,767 and 119,650

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Solution

The third proportional to 79,767 and 119,650 is: 179,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,767 : 119,650 = 119,650 : x
  2. Step 2: Convert to fraction form
    79,767/119,650 = 119,650/x
  3. Step 3: Cross multiply
    79,767x = 119,650 × 119,650
  4. Step 4: Simplify right side
    79,767x = 14,316,122,500
  5. Step 5: Solve for x
    x = 14,316,122,500/79,767
  6. Step 6: Final answer
    x = 179,474.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.