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Finding the Third Proportional to 84,130 and 179,934

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Solution

The third proportional to 84,130 and 179,934 is: 384,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,130 : 179,934 = 179,934 : x
  2. Step 2: Convert to fraction form
    84,130/179,934 = 179,934/x
  3. Step 3: Cross multiply
    84,130x = 179,934 × 179,934
  4. Step 4: Simplify right side
    84,130x = 32,376,244,356
  5. Step 5: Solve for x
    x = 32,376,244,356/84,130
  6. Step 6: Final answer
    x = 384,835.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.