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Finding the Third Proportional to 163,096 and 252,072

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Solution

The third proportional to 163,096 and 252,072 is: 389,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,096 : 252,072 = 252,072 : x
  2. Step 2: Convert to fraction form
    163,096/252,072 = 252,072/x
  3. Step 3: Cross multiply
    163,096x = 252,072 × 252,072
  4. Step 4: Simplify right side
    163,096x = 63,540,293,184
  5. Step 5: Solve for x
    x = 63,540,293,184/163,096
  6. Step 6: Final answer
    x = 389,588.30

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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.