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Finding the Third Proportional to 72,966 and 119,133

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Solution

The third proportional to 72,966 and 119,133 is: 194,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,966 : 119,133 = 119,133 : x
  2. Step 2: Convert to fraction form
    72,966/119,133 = 119,133/x
  3. Step 3: Cross multiply
    72,966x = 119,133 × 119,133
  4. Step 4: Simplify right side
    72,966x = 14,192,671,689
  5. Step 5: Solve for x
    x = 14,192,671,689/72,966
  6. Step 6: Final answer
    x = 194,510.75

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.