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Finding the Third Proportional to 133,050 and 195,685

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Solution

The third proportional to 133,050 and 195,685 is: 287,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 195,685 = 195,685 : x
  2. Step 2: Convert to fraction form
    133,050/195,685 = 195,685/x
  3. Step 3: Cross multiply
    133,050x = 195,685 × 195,685
  4. Step 4: Simplify right side
    133,050x = 38,292,619,225
  5. Step 5: Solve for x
    x = 38,292,619,225/133,050
  6. Step 6: Final answer
    x = 287,806.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.