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Finding the Third Proportional to 119,396 and 161,562

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Solution

The third proportional to 119,396 and 161,562 is: 218,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,396 : 161,562 = 161,562 : x
  2. Step 2: Convert to fraction form
    119,396/161,562 = 161,562/x
  3. Step 3: Cross multiply
    119,396x = 161,562 × 161,562
  4. Step 4: Simplify right side
    119,396x = 26,102,279,844
  5. Step 5: Solve for x
    x = 26,102,279,844/119,396
  6. Step 6: Final answer
    x = 218,619.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.