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Finding the Third Proportional to 75,742.88 and 164,786.63

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Solution

The third proportional to 75,742.88 and 164,786.63 is: 358,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,742.88 : 164,786.63 = 164,786.63 : x
  2. Step 2: Convert to fraction form
    75,742.88/164,786.63 = 164,786.63/x
  3. Step 3: Cross multiply
    75,742.88x = 164,786.63 × 164,786.63
  4. Step 4: Simplify right side
    75,742.88x = 27,154,631,778.89
  5. Step 5: Solve for x
    x = 27,154,631,778.89/75,742.88
  6. Step 6: Final answer
    x = 358,510.71

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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.