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Finding the Third Proportional to 76,776 and 165,213

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Solution

The third proportional to 76,776 and 165,213 is: 355,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776 : 165,213 = 165,213 : x
  2. Step 2: Convert to fraction form
    76,776/165,213 = 165,213/x
  3. Step 3: Cross multiply
    76,776x = 165,213 × 165,213
  4. Step 4: Simplify right side
    76,776x = 27,295,335,369
  5. Step 5: Solve for x
    x = 27,295,335,369/76,776
  6. Step 6: Final answer
    x = 355,519.11

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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.