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Finding the Third Proportional to 84,006 and 161,854

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Solution

The third proportional to 84,006 and 161,854 is: 311,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,006 : 161,854 = 161,854 : x
  2. Step 2: Convert to fraction form
    84,006/161,854 = 161,854/x
  3. Step 3: Cross multiply
    84,006x = 161,854 × 161,854
  4. Step 4: Simplify right side
    84,006x = 26,196,717,316
  5. Step 5: Solve for x
    x = 26,196,717,316/84,006
  6. Step 6: Final answer
    x = 311,843.41

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.