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Finding the Third Proportional to 102,087 and 163,893

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Solution

The third proportional to 102,087 and 163,893 is: 263,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087 : 163,893 = 163,893 : x
  2. Step 2: Convert to fraction form
    102,087/163,893 = 163,893/x
  3. Step 3: Cross multiply
    102,087x = 163,893 × 163,893
  4. Step 4: Simplify right side
    102,087x = 26,860,915,449
  5. Step 5: Solve for x
    x = 26,860,915,449/102,087
  6. Step 6: Final answer
    x = 263,117.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.