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Finding the Third Proportional to 76,597 and 162,026

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Solution

The third proportional to 76,597 and 162,026 is: 342,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,597 : 162,026 = 162,026 : x
  2. Step 2: Convert to fraction form
    76,597/162,026 = 162,026/x
  3. Step 3: Cross multiply
    76,597x = 162,026 × 162,026
  4. Step 4: Simplify right side
    76,597x = 26,252,424,676
  5. Step 5: Solve for x
    x = 26,252,424,676/76,597
  6. Step 6: Final answer
    x = 342,734.37

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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.