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Finding the Third Proportional to 112,858 and 245,153

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Solution

The third proportional to 112,858 and 245,153 is: 532,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,858 : 245,153 = 245,153 : x
  2. Step 2: Convert to fraction form
    112,858/245,153 = 245,153/x
  3. Step 3: Cross multiply
    112,858x = 245,153 × 245,153
  4. Step 4: Simplify right side
    112,858x = 60,099,993,409
  5. Step 5: Solve for x
    x = 60,099,993,409/112,858
  6. Step 6: Final answer
    x = 532,527.54

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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.