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Finding the Third Proportional to 79,854 and 119,783

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Solution

The third proportional to 79,854 and 119,783 is: 179,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,854 : 119,783 = 119,783 : x
  2. Step 2: Convert to fraction form
    79,854/119,783 = 119,783/x
  3. Step 3: Cross multiply
    79,854x = 119,783 × 119,783
  4. Step 4: Simplify right side
    79,854x = 14,347,967,089
  5. Step 5: Solve for x
    x = 14,347,967,089/79,854
  6. Step 6: Final answer
    x = 179,677.50

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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.