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Finding the Third Proportional to 112,197 and 243,087

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Solution

The third proportional to 112,197 and 243,087 is: 526,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,197 : 243,087 = 243,087 : x
  2. Step 2: Convert to fraction form
    112,197/243,087 = 243,087/x
  3. Step 3: Cross multiply
    112,197x = 243,087 × 243,087
  4. Step 4: Simplify right side
    112,197x = 59,091,289,569
  5. Step 5: Solve for x
    x = 59,091,289,569/112,197
  6. Step 6: Final answer
    x = 526,674.42

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Why These Related Problems?

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