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Finding the Third Proportional to 119,000 and 161,535

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Solution

The third proportional to 119,000 and 161,535 is: 219,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,000 : 161,535 = 161,535 : x
  2. Step 2: Convert to fraction form
    119,000/161,535 = 161,535/x
  3. Step 3: Cross multiply
    119,000x = 161,535 × 161,535
  4. Step 4: Simplify right side
    119,000x = 26,093,556,225
  5. Step 5: Solve for x
    x = 26,093,556,225/119,000
  6. Step 6: Final answer
    x = 219,273.58

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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.