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Finding the Third Proportional to 76,413 and 165,963

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Solution

The third proportional to 76,413 and 165,963 is: 360,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413 : 165,963 = 165,963 : x
  2. Step 2: Convert to fraction form
    76,413/165,963 = 165,963/x
  3. Step 3: Cross multiply
    76,413x = 165,963 × 165,963
  4. Step 4: Simplify right side
    76,413x = 27,543,717,369
  5. Step 5: Solve for x
    x = 27,543,717,369/76,413
  6. Step 6: Final answer
    x = 360,458.53

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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.