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Finding the Third Proportional to 70,706 and 102,252

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Solution

The third proportional to 70,706 and 102,252 is: 147,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706 : 102,252 = 102,252 : x
  2. Step 2: Convert to fraction form
    70,706/102,252 = 102,252/x
  3. Step 3: Cross multiply
    70,706x = 102,252 × 102,252
  4. Step 4: Simplify right side
    70,706x = 10,455,471,504
  5. Step 5: Solve for x
    x = 10,455,471,504/70,706
  6. Step 6: Final answer
    x = 147,872.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.