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Finding the Third Proportional to 76,503 and 165,711

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Solution

The third proportional to 76,503 and 165,711 is: 358,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,503 : 165,711 = 165,711 : x
  2. Step 2: Convert to fraction form
    76,503/165,711 = 165,711/x
  3. Step 3: Cross multiply
    76,503x = 165,711 × 165,711
  4. Step 4: Simplify right side
    76,503x = 27,460,135,521
  5. Step 5: Solve for x
    x = 27,460,135,521/76,503
  6. Step 6: Final answer
    x = 358,941.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.