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Finding the Third Proportional to 76,596 and 162,024

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Solution

The third proportional to 76,596 and 162,024 is: 342,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596 : 162,024 = 162,024 : x
  2. Step 2: Convert to fraction form
    76,596/162,024 = 162,024/x
  3. Step 3: Cross multiply
    76,596x = 162,024 × 162,024
  4. Step 4: Simplify right side
    76,596x = 26,251,776,576
  5. Step 5: Solve for x
    x = 26,251,776,576/76,596
  6. Step 6: Final answer
    x = 342,730.39

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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.