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Finding the Third Proportional to 77,508 and 165,590

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Solution

The third proportional to 77,508 and 165,590 is: 353,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,508 : 165,590 = 165,590 : x
  2. Step 2: Convert to fraction form
    77,508/165,590 = 165,590/x
  3. Step 3: Cross multiply
    77,508x = 165,590 × 165,590
  4. Step 4: Simplify right side
    77,508x = 27,420,048,100
  5. Step 5: Solve for x
    x = 27,420,048,100/77,508
  6. Step 6: Final answer
    x = 353,770.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.