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Finding the Third Proportional to 124,890.75 and 190,464.75

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Solution

The third proportional to 124,890.75 and 190,464.75 is: 290,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,890.75 : 190,464.75 = 190,464.75 : x
  2. Step 2: Convert to fraction form
    124,890.75/190,464.75 = 190,464.75/x
  3. Step 3: Cross multiply
    124,890.75x = 190,464.75 × 190,464.75
  4. Step 4: Simplify right side
    124,890.75x = 36,276,820,992.56
  5. Step 5: Solve for x
    x = 36,276,820,992.56/124,890.75
  6. Step 6: Final answer
    x = 290,468.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.