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Finding the Third Proportional to 52,010 and 106,486

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Solution

The third proportional to 52,010 and 106,486 is: 218,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010 : 106,486 = 106,486 : x
  2. Step 2: Convert to fraction form
    52,010/106,486 = 106,486/x
  3. Step 3: Cross multiply
    52,010x = 106,486 × 106,486
  4. Step 4: Simplify right side
    52,010x = 11,339,268,196
  5. Step 5: Solve for x
    x = 11,339,268,196/52,010
  6. Step 6: Final answer
    x = 218,020.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.