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Finding the Third Proportional to 119,392 and 161,556

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Solution

The third proportional to 119,392 and 161,556 is: 218,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,392 : 161,556 = 161,556 : x
  2. Step 2: Convert to fraction form
    119,392/161,556 = 161,556/x
  3. Step 3: Cross multiply
    119,392x = 161,556 × 161,556
  4. Step 4: Simplify right side
    119,392x = 26,100,341,136
  5. Step 5: Solve for x
    x = 26,100,341,136/119,392
  6. Step 6: Final answer
    x = 218,610.47

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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.