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Finding the Third Proportional to 119,775 and 254,154

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Solution

The third proportional to 119,775 and 254,154 is: 539,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,775 : 254,154 = 254,154 : x
  2. Step 2: Convert to fraction form
    119,775/254,154 = 254,154/x
  3. Step 3: Cross multiply
    119,775x = 254,154 × 254,154
  4. Step 4: Simplify right side
    119,775x = 64,594,255,716
  5. Step 5: Solve for x
    x = 64,594,255,716/119,775
  6. Step 6: Final answer
    x = 539,296.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.