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Finding the Third Proportional to 119,702 and 252,028

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Solution

The third proportional to 119,702 and 252,028 is: 530,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,702 : 252,028 = 252,028 : x
  2. Step 2: Convert to fraction form
    119,702/252,028 = 252,028/x
  3. Step 3: Cross multiply
    119,702x = 252,028 × 252,028
  4. Step 4: Simplify right side
    119,702x = 63,518,112,784
  5. Step 5: Solve for x
    x = 63,518,112,784/119,702
  6. Step 6: Final answer
    x = 530,635.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.