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Finding the Third Proportional to 133,614 and 205,461

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Solution

The third proportional to 133,614 and 205,461 is: 315,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614 : 205,461 = 205,461 : x
  2. Step 2: Convert to fraction form
    133,614/205,461 = 205,461/x
  3. Step 3: Cross multiply
    133,614x = 205,461 × 205,461
  4. Step 4: Simplify right side
    133,614x = 42,214,222,521
  5. Step 5: Solve for x
    x = 42,214,222,521/133,614
  6. Step 6: Final answer
    x = 315,941.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.