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Finding the Third Proportional to 119,046 and 161,679

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Solution

The third proportional to 119,046 and 161,679 is: 219,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046 : 161,679 = 161,679 : x
  2. Step 2: Convert to fraction form
    119,046/161,679 = 161,679/x
  3. Step 3: Cross multiply
    119,046x = 161,679 × 161,679
  4. Step 4: Simplify right side
    119,046x = 26,140,099,041
  5. Step 5: Solve for x
    x = 26,140,099,041/119,046
  6. Step 6: Final answer
    x = 219,579.82

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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.