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Finding the Third Proportional to 102,021 and 155,288

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Solution

The third proportional to 102,021 and 155,288 is: 236,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,021 : 155,288 = 155,288 : x
  2. Step 2: Convert to fraction form
    102,021/155,288 = 155,288/x
  3. Step 3: Cross multiply
    102,021x = 155,288 × 155,288
  4. Step 4: Simplify right side
    102,021x = 24,114,362,944
  5. Step 5: Solve for x
    x = 24,114,362,944/102,021
  6. Step 6: Final answer
    x = 236,366.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.