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Finding the Third Proportional to 76,202 and 163,740

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Solution

The third proportional to 76,202 and 163,740 is: 351,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202 : 163,740 = 163,740 : x
  2. Step 2: Convert to fraction form
    76,202/163,740 = 163,740/x
  3. Step 3: Cross multiply
    76,202x = 163,740 × 163,740
  4. Step 4: Simplify right side
    76,202x = 26,810,787,600
  5. Step 5: Solve for x
    x = 26,810,787,600/76,202
  6. Step 6: Final answer
    x = 351,838.37

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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.