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Finding the Third Proportional to 66,021 and 102,273

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Solution

The third proportional to 66,021 and 102,273 is: 158,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,021 : 102,273 = 102,273 : x
  2. Step 2: Convert to fraction form
    66,021/102,273 = 102,273/x
  3. Step 3: Cross multiply
    66,021x = 102,273 × 102,273
  4. Step 4: Simplify right side
    66,021x = 10,459,766,529
  5. Step 5: Solve for x
    x = 10,459,766,529/66,021
  6. Step 6: Final answer
    x = 158,430.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.