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Finding the Third Proportional to 68,030 and 158,150

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Solution

The third proportional to 68,030 and 158,150 is: 367,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,030 : 158,150 = 158,150 : x
  2. Step 2: Convert to fraction form
    68,030/158,150 = 158,150/x
  3. Step 3: Cross multiply
    68,030x = 158,150 × 158,150
  4. Step 4: Simplify right side
    68,030x = 25,011,422,500
  5. Step 5: Solve for x
    x = 25,011,422,500/68,030
  6. Step 6: Final answer
    x = 367,652.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.