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Finding the Third Proportional to 76,316 and 165,766

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Solution

The third proportional to 76,316 and 165,766 is: 360,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,316 : 165,766 = 165,766 : x
  2. Step 2: Convert to fraction form
    76,316/165,766 = 165,766/x
  3. Step 3: Cross multiply
    76,316x = 165,766 × 165,766
  4. Step 4: Simplify right side
    76,316x = 27,478,366,756
  5. Step 5: Solve for x
    x = 27,478,366,756/76,316
  6. Step 6: Final answer
    x = 360,060.36

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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.