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Finding the Third Proportional to 119,061 and 161,697

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Solution

The third proportional to 119,061 and 161,697 is: 219,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,061 : 161,697 = 161,697 : x
  2. Step 2: Convert to fraction form
    119,061/161,697 = 161,697/x
  3. Step 3: Cross multiply
    119,061x = 161,697 × 161,697
  4. Step 4: Simplify right side
    119,061x = 26,145,919,809
  5. Step 5: Solve for x
    x = 26,145,919,809/119,061
  6. Step 6: Final answer
    x = 219,601.04

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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.