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Finding the Third Proportional to 84,489 and 118,122

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Solution

The third proportional to 84,489 and 118,122 is: 165,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,489 : 118,122 = 118,122 : x
  2. Step 2: Convert to fraction form
    84,489/118,122 = 118,122/x
  3. Step 3: Cross multiply
    84,489x = 118,122 × 118,122
  4. Step 4: Simplify right side
    84,489x = 13,952,806,884
  5. Step 5: Solve for x
    x = 13,952,806,884/84,489
  6. Step 6: Final answer
    x = 165,143.47

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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.