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Finding the Third Proportional to 113,055.75 and 239,517

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Solution

The third proportional to 113,055.75 and 239,517 is: 507,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,055.75 : 239,517 = 239,517 : x
  2. Step 2: Convert to fraction form
    113,055.75/239,517 = 239,517/x
  3. Step 3: Cross multiply
    113,055.75x = 239,517 × 239,517
  4. Step 4: Simplify right side
    113,055.75x = 57,368,393,289
  5. Step 5: Solve for x
    x = 57,368,393,289/113,055.75
  6. Step 6: Final answer
    x = 507,434.55

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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.