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Finding the Third Proportional to 119,389 and 162,239

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Solution

The third proportional to 119,389 and 162,239 is: 220,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,389 : 162,239 = 162,239 : x
  2. Step 2: Convert to fraction form
    119,389/162,239 = 162,239/x
  3. Step 3: Cross multiply
    119,389x = 162,239 × 162,239
  4. Step 4: Simplify right side
    119,389x = 26,321,493,121
  5. Step 5: Solve for x
    x = 26,321,493,121/119,389
  6. Step 6: Final answer
    x = 220,468.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.