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Finding the Third Proportional to 133,392 and 195,090

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Solution

The third proportional to 133,392 and 195,090 is: 285,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,392 : 195,090 = 195,090 : x
  2. Step 2: Convert to fraction form
    133,392/195,090 = 195,090/x
  3. Step 3: Cross multiply
    133,392x = 195,090 × 195,090
  4. Step 4: Simplify right side
    133,392x = 38,060,108,100
  5. Step 5: Solve for x
    x = 38,060,108,100/133,392
  6. Step 6: Final answer
    x = 285,325.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.