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Finding the Third Proportional to 55,874.25 and 119,308.50

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Solution

The third proportional to 55,874.25 and 119,308.50 is: 254,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874.25 : 119,308.50 = 119,308.50 : x
  2. Step 2: Convert to fraction form
    55,874.25/119,308.50 = 119,308.50/x
  3. Step 3: Cross multiply
    55,874.25x = 119,308.50 × 119,308.50
  4. Step 4: Simplify right side
    55,874.25x = 14,234,518,172.25
  5. Step 5: Solve for x
    x = 14,234,518,172.25/55,874.25
  6. Step 6: Final answer
    x = 254,759.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.