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Finding the Third Proportional to 76,420.41 and 179,814.09

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Solution

The third proportional to 76,420.41 and 179,814.09 is: 423,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420.41 : 179,814.09 = 179,814.09 : x
  2. Step 2: Convert to fraction form
    76,420.41/179,814.09 = 179,814.09/x
  3. Step 3: Cross multiply
    76,420.41x = 179,814.09 × 179,814.09
  4. Step 4: Simplify right side
    76,420.41x = 32,333,108,311.13
  5. Step 5: Solve for x
    x = 32,333,108,311.13/76,420.41
  6. Step 6: Final answer
    x = 423,095.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.