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Finding the Third Proportional to 75,778 and 165,124

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Solution

The third proportional to 75,778 and 165,124 is: 359,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,778 : 165,124 = 165,124 : x
  2. Step 2: Convert to fraction form
    75,778/165,124 = 165,124/x
  3. Step 3: Cross multiply
    75,778x = 165,124 × 165,124
  4. Step 4: Simplify right side
    75,778x = 27,265,935,376
  5. Step 5: Solve for x
    x = 27,265,935,376/75,778
  6. Step 6: Final answer
    x = 359,813.34

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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.