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Finding the Third Proportional to 120,397.50 and 252,099

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Solution

The third proportional to 120,397.50 and 252,099 is: 527,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,397.50 : 252,099 = 252,099 : x
  2. Step 2: Convert to fraction form
    120,397.50/252,099 = 252,099/x
  3. Step 3: Cross multiply
    120,397.50x = 252,099 × 252,099
  4. Step 4: Simplify right side
    120,397.50x = 63,553,905,801
  5. Step 5: Solve for x
    x = 63,553,905,801/120,397.50
  6. Step 6: Final answer
    x = 527,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.