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Finding the Third Proportional to 79,582.50 and 119,366.16

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Solution

The third proportional to 79,582.50 and 119,366.16 is: 179,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,582.50 : 119,366.16 = 119,366.16 : x
  2. Step 2: Convert to fraction form
    79,582.50/119,366.16 = 119,366.16/x
  3. Step 3: Cross multiply
    79,582.50x = 119,366.16 × 119,366.16
  4. Step 4: Simplify right side
    79,582.50x = 14,248,279,257.90
  5. Step 5: Solve for x
    x = 14,248,279,257.90/79,582.50
  6. Step 6: Final answer
    x = 179,037.84

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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.