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Finding the Third Proportional to 133,024 and 206,113

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Solution

The third proportional to 133,024 and 206,113 is: 319,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024 : 206,113 = 206,113 : x
  2. Step 2: Convert to fraction form
    133,024/206,113 = 206,113/x
  3. Step 3: Cross multiply
    133,024x = 206,113 × 206,113
  4. Step 4: Simplify right side
    133,024x = 42,482,568,769
  5. Step 5: Solve for x
    x = 42,482,568,769/133,024
  6. Step 6: Final answer
    x = 319,360.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.