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Finding the Third Proportional to 102,914 and 154,614

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Solution

The third proportional to 102,914 and 154,614 is: 232,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,914 : 154,614 = 154,614 : x
  2. Step 2: Convert to fraction form
    102,914/154,614 = 154,614/x
  3. Step 3: Cross multiply
    102,914x = 154,614 × 154,614
  4. Step 4: Simplify right side
    102,914x = 23,905,488,996
  5. Step 5: Solve for x
    x = 23,905,488,996/102,914
  6. Step 6: Final answer
    x = 232,286.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.