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Finding the Third Proportional to 47,554 and 112,460

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Solution

The third proportional to 47,554 and 112,460 is: 265,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,554 : 112,460 = 112,460 : x
  2. Step 2: Convert to fraction form
    47,554/112,460 = 112,460/x
  3. Step 3: Cross multiply
    47,554x = 112,460 × 112,460
  4. Step 4: Simplify right side
    47,554x = 12,647,251,600
  5. Step 5: Solve for x
    x = 12,647,251,600/47,554
  6. Step 6: Final answer
    x = 265,955.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.