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Finding the Third Proportional to 75,638.51 and 164,584.43

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Solution

The third proportional to 75,638.51 and 164,584.43 is: 358,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638.51 : 164,584.43 = 164,584.43 : x
  2. Step 2: Convert to fraction form
    75,638.51/164,584.43 = 164,584.43/x
  3. Step 3: Cross multiply
    75,638.51x = 164,584.43 × 164,584.43
  4. Step 4: Simplify right side
    75,638.51x = 27,088,034,917.47
  5. Step 5: Solve for x
    x = 27,088,034,917.47/75,638.51
  6. Step 6: Final answer
    x = 358,124.91

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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.