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Finding the Third Proportional to 85,304 and 119,322

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Solution

The third proportional to 85,304 and 119,322 is: 166,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,304 : 119,322 = 119,322 : x
  2. Step 2: Convert to fraction form
    85,304/119,322 = 119,322/x
  3. Step 3: Cross multiply
    85,304x = 119,322 × 119,322
  4. Step 4: Simplify right side
    85,304x = 14,237,739,684
  5. Step 5: Solve for x
    x = 14,237,739,684/85,304
  6. Step 6: Final answer
    x = 166,905.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.