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Finding the Third Proportional to 115,977.75 and 247,142.25

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Solution

The third proportional to 115,977.75 and 247,142.25 is: 526,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,977.75 : 247,142.25 = 247,142.25 : x
  2. Step 2: Convert to fraction form
    115,977.75/247,142.25 = 247,142.25/x
  3. Step 3: Cross multiply
    115,977.75x = 247,142.25 × 247,142.25
  4. Step 4: Simplify right side
    115,977.75x = 61,079,291,735.06
  5. Step 5: Solve for x
    x = 61,079,291,735.06/115,977.75
  6. Step 6: Final answer
    x = 526,646.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.