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Finding the Third Proportional to 75,577 and 164,763

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Solution

The third proportional to 75,577 and 164,763 is: 359,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,577 : 164,763 = 164,763 : x
  2. Step 2: Convert to fraction form
    75,577/164,763 = 164,763/x
  3. Step 3: Cross multiply
    75,577x = 164,763 × 164,763
  4. Step 4: Simplify right side
    75,577x = 27,146,846,169
  5. Step 5: Solve for x
    x = 27,146,846,169/75,577
  6. Step 6: Final answer
    x = 359,194.55

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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.