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Finding the Third Proportional to 102,884 and 154,599

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Solution

The third proportional to 102,884 and 154,599 is: 232,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,884 : 154,599 = 154,599 : x
  2. Step 2: Convert to fraction form
    102,884/154,599 = 154,599/x
  3. Step 3: Cross multiply
    102,884x = 154,599 × 154,599
  4. Step 4: Simplify right side
    102,884x = 23,900,850,801
  5. Step 5: Solve for x
    x = 23,900,850,801/102,884
  6. Step 6: Final answer
    x = 232,308.72

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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.