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Finding the Third Proportional to 75,314.81 and 164,025

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Solution

The third proportional to 75,314.81 and 164,025 is: 357,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.81 : 164,025 = 164,025 : x
  2. Step 2: Convert to fraction form
    75,314.81/164,025 = 164,025/x
  3. Step 3: Cross multiply
    75,314.81x = 164,025 × 164,025
  4. Step 4: Simplify right side
    75,314.81x = 26,904,200,625
  5. Step 5: Solve for x
    x = 26,904,200,625/75,314.81
  6. Step 6: Final answer
    x = 357,223.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.