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Finding the Third Proportional to 54,242 and 112,582

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Solution

The third proportional to 54,242 and 112,582 is: 233,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,242 : 112,582 = 112,582 : x
  2. Step 2: Convert to fraction form
    54,242/112,582 = 112,582/x
  3. Step 3: Cross multiply
    54,242x = 112,582 × 112,582
  4. Step 4: Simplify right side
    54,242x = 12,674,706,724
  5. Step 5: Solve for x
    x = 12,674,706,724/54,242
  6. Step 6: Final answer
    x = 233,669.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.