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Finding the Third Proportional to 76,385.53 and 164,473.03

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Solution

The third proportional to 76,385.53 and 164,473.03 is: 354,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,385.53 : 164,473.03 = 164,473.03 : x
  2. Step 2: Convert to fraction form
    76,385.53/164,473.03 = 164,473.03/x
  3. Step 3: Cross multiply
    76,385.53x = 164,473.03 × 164,473.03
  4. Step 4: Simplify right side
    76,385.53x = 27,051,378,008.56
  5. Step 5: Solve for x
    x = 27,051,378,008.56/76,385.53
  6. Step 6: Final answer
    x = 354,142.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.