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Finding the Third Proportional to 119,036 and 162,102

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Solution

The third proportional to 119,036 and 162,102 is: 220,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,036 : 162,102 = 162,102 : x
  2. Step 2: Convert to fraction form
    119,036/162,102 = 162,102/x
  3. Step 3: Cross multiply
    119,036x = 162,102 × 162,102
  4. Step 4: Simplify right side
    119,036x = 26,277,058,404
  5. Step 5: Solve for x
    x = 26,277,058,404/119,036
  6. Step 6: Final answer
    x = 220,748.84

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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.