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Finding the Third Proportional to 51,545 and 110,718

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Solution

The third proportional to 51,545 and 110,718 is: 237,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,545 : 110,718 = 110,718 : x
  2. Step 2: Convert to fraction form
    51,545/110,718 = 110,718/x
  3. Step 3: Cross multiply
    51,545x = 110,718 × 110,718
  4. Step 4: Simplify right side
    51,545x = 12,258,475,524
  5. Step 5: Solve for x
    x = 12,258,475,524/51,545
  6. Step 6: Final answer
    x = 237,820.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.