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Finding the Third Proportional to 102,866 and 155,392

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Solution

The third proportional to 102,866 and 155,392 is: 234,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866 : 155,392 = 155,392 : x
  2. Step 2: Convert to fraction form
    102,866/155,392 = 155,392/x
  3. Step 3: Cross multiply
    102,866x = 155,392 × 155,392
  4. Step 4: Simplify right side
    102,866x = 24,146,673,664
  5. Step 5: Solve for x
    x = 24,146,673,664/102,866
  6. Step 6: Final answer
    x = 234,739.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.