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Finding the Third Proportional to 70,059 and 145,101

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Solution

The third proportional to 70,059 and 145,101 is: 300,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,059 : 145,101 = 145,101 : x
  2. Step 2: Convert to fraction form
    70,059/145,101 = 145,101/x
  3. Step 3: Cross multiply
    70,059x = 145,101 × 145,101
  4. Step 4: Simplify right side
    70,059x = 21,054,300,201
  5. Step 5: Solve for x
    x = 21,054,300,201/70,059
  6. Step 6: Final answer
    x = 300,522.42

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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.