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Finding the Third Proportional to 76,770 and 165,207

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Solution

The third proportional to 76,770 and 165,207 is: 355,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,770 : 165,207 = 165,207 : x
  2. Step 2: Convert to fraction form
    76,770/165,207 = 165,207/x
  3. Step 3: Cross multiply
    76,770x = 165,207 × 165,207
  4. Step 4: Simplify right side
    76,770x = 27,293,352,849
  5. Step 5: Solve for x
    x = 27,293,352,849/76,770
  6. Step 6: Final answer
    x = 355,521.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.