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Finding the Third Proportional to 75,636 and 164,536

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Solution

The third proportional to 75,636 and 164,536 is: 357,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636 : 164,536 = 164,536 : x
  2. Step 2: Convert to fraction form
    75,636/164,536 = 164,536/x
  3. Step 3: Cross multiply
    75,636x = 164,536 × 164,536
  4. Step 4: Simplify right side
    75,636x = 27,072,095,296
  5. Step 5: Solve for x
    x = 27,072,095,296/75,636
  6. Step 6: Final answer
    x = 357,926.06

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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.