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Finding the Third Proportional to 76,698 and 165,732

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Solution

The third proportional to 76,698 and 165,732 is: 358,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698 : 165,732 = 165,732 : x
  2. Step 2: Convert to fraction form
    76,698/165,732 = 165,732/x
  3. Step 3: Cross multiply
    76,698x = 165,732 × 165,732
  4. Step 4: Simplify right side
    76,698x = 27,467,095,824
  5. Step 5: Solve for x
    x = 27,467,095,824/76,698
  6. Step 6: Final answer
    x = 358,120.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.