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Finding the Third Proportional to 119,216 and 167,106

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Solution

The third proportional to 119,216 and 167,106 is: 234,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,216 : 167,106 = 167,106 : x
  2. Step 2: Convert to fraction form
    119,216/167,106 = 167,106/x
  3. Step 3: Cross multiply
    119,216x = 167,106 × 167,106
  4. Step 4: Simplify right side
    119,216x = 27,924,415,236
  5. Step 5: Solve for x
    x = 27,924,415,236/119,216
  6. Step 6: Final answer
    x = 234,233.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.