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Finding the Third Proportional to 119,937 and 258,021

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Solution

The third proportional to 119,937 and 258,021 is: 555,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,937 : 258,021 = 258,021 : x
  2. Step 2: Convert to fraction form
    119,937/258,021 = 258,021/x
  3. Step 3: Cross multiply
    119,937x = 258,021 × 258,021
  4. Step 4: Simplify right side
    119,937x = 66,574,836,441
  5. Step 5: Solve for x
    x = 66,574,836,441/119,937
  6. Step 6: Final answer
    x = 555,081.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.