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Finding the Third Proportional to 76,924 and 165,560

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Solution

The third proportional to 76,924 and 165,560 is: 356,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,924 : 165,560 = 165,560 : x
  2. Step 2: Convert to fraction form
    76,924/165,560 = 165,560/x
  3. Step 3: Cross multiply
    76,924x = 165,560 × 165,560
  4. Step 4: Simplify right side
    76,924x = 27,410,113,600
  5. Step 5: Solve for x
    x = 27,410,113,600/76,924
  6. Step 6: Final answer
    x = 356,327.20

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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.