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Finding the Third Proportional to 75,550 and 164,444

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Solution

The third proportional to 75,550 and 164,444 is: 357,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,550 : 164,444 = 164,444 : x
  2. Step 2: Convert to fraction form
    75,550/164,444 = 164,444/x
  3. Step 3: Cross multiply
    75,550x = 164,444 × 164,444
  4. Step 4: Simplify right side
    75,550x = 27,041,829,136
  5. Step 5: Solve for x
    x = 27,041,829,136/75,550
  6. Step 6: Final answer
    x = 357,932.88

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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.