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Finding the Third Proportional to 79,699 and 119,395

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Solution

The third proportional to 79,699 and 119,395 is: 178,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,699 : 119,395 = 119,395 : x
  2. Step 2: Convert to fraction form
    79,699/119,395 = 119,395/x
  3. Step 3: Cross multiply
    79,699x = 119,395 × 119,395
  4. Step 4: Simplify right side
    79,699x = 14,255,166,025
  5. Step 5: Solve for x
    x = 14,255,166,025/79,699
  6. Step 6: Final answer
    x = 178,862.55

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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.