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Finding the Third Proportional to 132,116 and 207,084

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Solution

The third proportional to 132,116 and 207,084 is: 324,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,116 : 207,084 = 207,084 : x
  2. Step 2: Convert to fraction form
    132,116/207,084 = 207,084/x
  3. Step 3: Cross multiply
    132,116x = 207,084 × 207,084
  4. Step 4: Simplify right side
    132,116x = 42,883,783,056
  5. Step 5: Solve for x
    x = 42,883,783,056/132,116
  6. Step 6: Final answer
    x = 324,591.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.