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Finding the Third Proportional to 163,134 and 252,099

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Solution

The third proportional to 163,134 and 252,099 is: 389,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,134 : 252,099 = 252,099 : x
  2. Step 2: Convert to fraction form
    163,134/252,099 = 252,099/x
  3. Step 3: Cross multiply
    163,134x = 252,099 × 252,099
  4. Step 4: Simplify right side
    163,134x = 63,553,905,801
  5. Step 5: Solve for x
    x = 63,553,905,801/163,134
  6. Step 6: Final answer
    x = 389,580.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.