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Finding the Third Proportional to 48,541 and 73,257

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Solution

The third proportional to 48,541 and 73,257 is: 110,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,541 : 73,257 = 73,257 : x
  2. Step 2: Convert to fraction form
    48,541/73,257 = 73,257/x
  3. Step 3: Cross multiply
    48,541x = 73,257 × 73,257
  4. Step 4: Simplify right side
    48,541x = 5,366,588,049
  5. Step 5: Solve for x
    x = 5,366,588,049/48,541
  6. Step 6: Final answer
    x = 110,557.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.