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Finding the Third Proportional to 77,046 and 165,588

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Solution

The third proportional to 77,046 and 165,588 is: 355,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,046 : 165,588 = 165,588 : x
  2. Step 2: Convert to fraction form
    77,046/165,588 = 165,588/x
  3. Step 3: Cross multiply
    77,046x = 165,588 × 165,588
  4. Step 4: Simplify right side
    77,046x = 27,419,385,744
  5. Step 5: Solve for x
    x = 27,419,385,744/77,046
  6. Step 6: Final answer
    x = 355,883.31

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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.