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Finding the Third Proportional to 34,104 and 70,548

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Solution

The third proportional to 34,104 and 70,548 is: 145,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,104 : 70,548 = 70,548 : x
  2. Step 2: Convert to fraction form
    34,104/70,548 = 70,548/x
  3. Step 3: Cross multiply
    34,104x = 70,548 × 70,548
  4. Step 4: Simplify right side
    34,104x = 4,977,020,304
  5. Step 5: Solve for x
    x = 4,977,020,304/34,104
  6. Step 6: Final answer
    x = 145,936.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.