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Finding the Third Proportional to 51,715 and 111,346

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Solution

The third proportional to 51,715 and 111,346 is: 239,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,715 : 111,346 = 111,346 : x
  2. Step 2: Convert to fraction form
    51,715/111,346 = 111,346/x
  3. Step 3: Cross multiply
    51,715x = 111,346 × 111,346
  4. Step 4: Simplify right side
    51,715x = 12,397,931,716
  5. Step 5: Solve for x
    x = 12,397,931,716/51,715
  6. Step 6: Final answer
    x = 239,735.70

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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.