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Finding the Third Proportional to 112,923 and 242,146

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Solution

The third proportional to 112,923 and 242,146 is: 519,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,923 : 242,146 = 242,146 : x
  2. Step 2: Convert to fraction form
    112,923/242,146 = 242,146/x
  3. Step 3: Cross multiply
    112,923x = 242,146 × 242,146
  4. Step 4: Simplify right side
    112,923x = 58,634,685,316
  5. Step 5: Solve for x
    x = 58,634,685,316/112,923
  6. Step 6: Final answer
    x = 519,244.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.