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Finding the Third Proportional to 119,246 and 161,927

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Solution

The third proportional to 119,246 and 161,927 is: 219,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,246 : 161,927 = 161,927 : x
  2. Step 2: Convert to fraction form
    119,246/161,927 = 161,927/x
  3. Step 3: Cross multiply
    119,246x = 161,927 × 161,927
  4. Step 4: Simplify right side
    119,246x = 26,220,353,329
  5. Step 5: Solve for x
    x = 26,220,353,329/119,246
  6. Step 6: Final answer
    x = 219,884.55

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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.