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Finding the Third Proportional to 102,614 and 154,221

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Solution

The third proportional to 102,614 and 154,221 is: 231,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614 : 154,221 = 154,221 : x
  2. Step 2: Convert to fraction form
    102,614/154,221 = 154,221/x
  3. Step 3: Cross multiply
    102,614x = 154,221 × 154,221
  4. Step 4: Simplify right side
    102,614x = 23,784,116,841
  5. Step 5: Solve for x
    x = 23,784,116,841/102,614
  6. Step 6: Final answer
    x = 231,782.38

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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.