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Finding the Third Proportional to 114,899 and 165,489

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Solution

The third proportional to 114,899 and 165,489 is: 238,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,899 : 165,489 = 165,489 : x
  2. Step 2: Convert to fraction form
    114,899/165,489 = 165,489/x
  3. Step 3: Cross multiply
    114,899x = 165,489 × 165,489
  4. Step 4: Simplify right side
    114,899x = 27,386,609,121
  5. Step 5: Solve for x
    x = 27,386,609,121/114,899
  6. Step 6: Final answer
    x = 238,353.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.