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Finding the Third Proportional to 84,204 and 121,650

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Solution

The third proportional to 84,204 and 121,650 is: 175,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,204 : 121,650 = 121,650 : x
  2. Step 2: Convert to fraction form
    84,204/121,650 = 121,650/x
  3. Step 3: Cross multiply
    84,204x = 121,650 × 121,650
  4. Step 4: Simplify right side
    84,204x = 14,798,722,500
  5. Step 5: Solve for x
    x = 14,798,722,500/84,204
  6. Step 6: Final answer
    x = 175,748.45

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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.