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Finding the Third Proportional to 112,596 and 241,752

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Solution

The third proportional to 112,596 and 241,752 is: 519,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,596 : 241,752 = 241,752 : x
  2. Step 2: Convert to fraction form
    112,596/241,752 = 241,752/x
  3. Step 3: Cross multiply
    112,596x = 241,752 × 241,752
  4. Step 4: Simplify right side
    112,596x = 58,444,029,504
  5. Step 5: Solve for x
    x = 58,444,029,504/112,596
  6. Step 6: Final answer
    x = 519,059.55

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Why These Related Problems?

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