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Finding the Third Proportional to 119,894 and 252,124

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Solution

The third proportional to 119,894 and 252,124 is: 530,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,894 : 252,124 = 252,124 : x
  2. Step 2: Convert to fraction form
    119,894/252,124 = 252,124/x
  3. Step 3: Cross multiply
    119,894x = 252,124 × 252,124
  4. Step 4: Simplify right side
    119,894x = 63,566,511,376
  5. Step 5: Solve for x
    x = 63,566,511,376/119,894
  6. Step 6: Final answer
    x = 530,189.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.