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Finding the Third Proportional to 112,059 and 242,797.50

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Solution

The third proportional to 112,059 and 242,797.50 is: 526,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,059 : 242,797.50 = 242,797.50 : x
  2. Step 2: Convert to fraction form
    112,059/242,797.50 = 242,797.50/x
  3. Step 3: Cross multiply
    112,059x = 242,797.50 × 242,797.50
  4. Step 4: Simplify right side
    112,059x = 58,950,626,006.25
  5. Step 5: Solve for x
    x = 58,950,626,006.25/112,059
  6. Step 6: Final answer
    x = 526,067.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.