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Finding the Third Proportional to 76,631 and 162,475

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Solution

The third proportional to 76,631 and 162,475 is: 344,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,631 : 162,475 = 162,475 : x
  2. Step 2: Convert to fraction form
    76,631/162,475 = 162,475/x
  3. Step 3: Cross multiply
    76,631x = 162,475 × 162,475
  4. Step 4: Simplify right side
    76,631x = 26,398,125,625
  5. Step 5: Solve for x
    x = 26,398,125,625/76,631
  6. Step 6: Final answer
    x = 344,483.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.