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Finding the Third Proportional to 53,786 and 112,000

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Solution

The third proportional to 53,786 and 112,000 is: 233,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,786 : 112,000 = 112,000 : x
  2. Step 2: Convert to fraction form
    53,786/112,000 = 112,000/x
  3. Step 3: Cross multiply
    53,786x = 112,000 × 112,000
  4. Step 4: Simplify right side
    53,786x = 12,544,000,000
  5. Step 5: Solve for x
    x = 12,544,000,000/53,786
  6. Step 6: Final answer
    x = 233,220.54

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