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Finding the Third Proportional to 112,536 and 242,406

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Solution

The third proportional to 112,536 and 242,406 is: 522,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,536 : 242,406 = 242,406 : x
  2. Step 2: Convert to fraction form
    112,536/242,406 = 242,406/x
  3. Step 3: Cross multiply
    112,536x = 242,406 × 242,406
  4. Step 4: Simplify right side
    112,536x = 58,760,668,836
  5. Step 5: Solve for x
    x = 58,760,668,836/112,536
  6. Step 6: Final answer
    x = 522,149.97

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