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Finding the Third Proportional to 79,341 and 119,023.50

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Solution

The third proportional to 79,341 and 119,023.50 is: 178,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,341 : 119,023.50 = 119,023.50 : x
  2. Step 2: Convert to fraction form
    79,341/119,023.50 = 119,023.50/x
  3. Step 3: Cross multiply
    79,341x = 119,023.50 × 119,023.50
  4. Step 4: Simplify right side
    79,341x = 14,166,593,552.25
  5. Step 5: Solve for x
    x = 14,166,593,552.25/79,341
  6. Step 6: Final answer
    x = 178,553.25

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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.